package wblut.geom;

class WB_PolyhedraData {

	final static String[] Anames = { "cuboctahedron",
			"great rhombicosidodecahedron", "great rhombicuboctahedron",
			"icosidodecahedron", "small rhombicosidodecahedron",
			"small rhombicuboctahedron", "snub cube", "snub dodecahedron",
			"truncated cube", "truncated dodecahedron",
			"truncated icosahedron", "truncated octahedron",
			"truncated tetrahedron" };

	final static double[][][] Avertices = {
			{ { -1., 0., 0. }, { -0.5, -0.5, -0.707107 },
					{ -0.5, -0.5, 0.707107 }, { -0.5, 0.5, -0.707107 },
					{ -0.5, 0.5, 0.707107 }, { 0., -1., 0. }, { 0., 1., 0. },
					{ 0.5, -0.5, -0.707107 }, { 0.5, -0.5, 0.707107 },
					{ 0.5, 0.5, -0.707107 }, { 0.5, 0.5, 0.707107 },
					{ 1., 0., 0. } },
			{ { -1., -1.30902, -3.42705 }, { -1., -1.30902, 3.42705 },
					{ -1., 1.30902, -3.42705 }, { -1., 1.30902, 3.42705 },
					{ -0.5, -0.5, -3.73607 }, { -0.5, -0.5, 3.73607 },
					{ -0.5, 0.5, -3.73607 }, { -0.5, 0.5, 3.73607 },
					{ -0.5, -3.73607, -0.5 }, { -0.5, -3.73607, 0.5 },
					{ -0.5, -2.11803, -3.11803 }, { -0.5, -2.11803, 3.11803 },
					{ -0.5, 3.73607, -0.5 }, { -0.5, 3.73607, 0.5 },
					{ -0.5, 2.11803, -3.11803 }, { -0.5, 2.11803, 3.11803 },
					{ 0.5, -0.5, -3.73607 }, { 0.5, -0.5, 3.73607 },
					{ 0.5, 0.5, -3.73607 }, { 0.5, 0.5, 3.73607 },
					{ 0.5, -3.73607, -0.5 }, { 0.5, -3.73607, 0.5 },
					{ 0.5, -2.11803, -3.11803 }, { 0.5, -2.11803, 3.11803 },
					{ 0.5, 3.73607, -0.5 }, { 0.5, 3.73607, 0.5 },
					{ 0.5, 2.11803, -3.11803 }, { 0.5, 2.11803, 3.11803 },
					{ 1., -1.30902, -3.42705 }, { 1., -1.30902, 3.42705 },
					{ 1., 1.30902, -3.42705 }, { 1., 1.30902, 3.42705 },
					{ -3.42705, -1., -1.30902 }, { -3.42705, -1., 1.30902 },
					{ -3.42705, 1., -1.30902 }, { -3.42705, 1., 1.30902 },
					{ -2.92705, -1.80902, -1.61803 },
					{ -2.92705, -1.80902, 1.61803 },
					{ -2.92705, 1.80902, -1.61803 },
					{ -2.92705, 1.80902, 1.61803 },
					{ -1.80902, -1.61803, -2.92705 },
					{ -1.80902, -1.61803, 2.92705 },
					{ -1.80902, 1.61803, -2.92705 },
					{ -1.80902, 1.61803, 2.92705 },
					{ -1.30902, -3.42705, -1. }, { -1.30902, -3.42705, 1. },
					{ -1.30902, -2.42705, -2.61803 },
					{ -1.30902, -2.42705, 2.61803 },
					{ -1.30902, 2.42705, -2.61803 },
					{ -1.30902, 2.42705, 2.61803 }, { -1.30902, 3.42705, -1. },
					{ -1.30902, 3.42705, 1. },
					{ -2.61803, -1.30902, -2.42705 },
					{ -2.61803, -1.30902, 2.42705 },
					{ -2.61803, 1.30902, -2.42705 },
					{ -2.61803, 1.30902, 2.42705 }, { -3.73607, -0.5, -0.5 },
					{ -3.73607, -0.5, 0.5 }, { -3.73607, 0.5, -0.5 },
					{ -3.73607, 0.5, 0.5 }, { -1.61803, -2.92705, -1.80902 },
					{ -1.61803, -2.92705, 1.80902 },
					{ -1.61803, 2.92705, -1.80902 },
					{ -1.61803, 2.92705, 1.80902 },
					{ -3.11803, -0.5, -2.11803 }, { -3.11803, -0.5, 2.11803 },
					{ -3.11803, 0.5, -2.11803 }, { -3.11803, 0.5, 2.11803 },
					{ -2.11803, -3.11803, -0.5 }, { -2.11803, -3.11803, 0.5 },
					{ -2.11803, 3.11803, -0.5 }, { -2.11803, 3.11803, 0.5 },
					{ -2.42705, -2.61803, -1.30902 },
					{ -2.42705, -2.61803, 1.30902 },
					{ -2.42705, 2.61803, -1.30902 },
					{ -2.42705, 2.61803, 1.30902 },
					{ 1.61803, -2.92705, -1.80902 },
					{ 1.61803, -2.92705, 1.80902 },
					{ 1.61803, 2.92705, -1.80902 },
					{ 1.61803, 2.92705, 1.80902 },
					{ 2.42705, -2.61803, -1.30902 },
					{ 2.42705, -2.61803, 1.30902 },
					{ 2.42705, 2.61803, -1.30902 },
					{ 2.42705, 2.61803, 1.30902 }, { 3.73607, -0.5, -0.5 },
					{ 3.73607, -0.5, 0.5 }, { 3.73607, 0.5, -0.5 },
					{ 3.73607, 0.5, 0.5 }, { 2.11803, -3.11803, -0.5 },
					{ 2.11803, -3.11803, 0.5 }, { 2.11803, 3.11803, -0.5 },
					{ 2.11803, 3.11803, 0.5 }, { 1.30902, -3.42705, -1. },
					{ 1.30902, -3.42705, 1. }, { 1.30902, -2.42705, -2.61803 },
					{ 1.30902, -2.42705, 2.61803 },
					{ 1.30902, 2.42705, -2.61803 },
					{ 1.30902, 2.42705, 2.61803 }, { 1.30902, 3.42705, -1. },
					{ 1.30902, 3.42705, 1. }, { 2.61803, -1.30902, -2.42705 },
					{ 2.61803, -1.30902, 2.42705 },
					{ 2.61803, 1.30902, -2.42705 },
					{ 2.61803, 1.30902, 2.42705 }, { 3.11803, -0.5, -2.11803 },
					{ 3.11803, -0.5, 2.11803 }, { 3.11803, 0.5, -2.11803 },
					{ 3.11803, 0.5, 2.11803 }, { 1.80902, -1.61803, -2.92705 },
					{ 1.80902, -1.61803, 2.92705 },
					{ 1.80902, 1.61803, -2.92705 },
					{ 1.80902, 1.61803, 2.92705 },
					{ 2.92705, -1.80902, -1.61803 },
					{ 2.92705, -1.80902, 1.61803 },
					{ 2.92705, 1.80902, -1.61803 },
					{ 2.92705, 1.80902, 1.61803 }, { 3.42705, -1., -1.30902 },
					{ 3.42705, -1., 1.30902 }, { 3.42705, 1., -1.30902 },
					{ 3.42705, 1., 1.30902 } },
			{ { -0.5, 1.20711, -1.91421 }, { -0.5, 1.20711, 1.91421 },
					{ -0.5, -1.20711, -1.91421 }, { -0.5, -1.20711, 1.91421 },
					{ -0.5, -1.91421, 1.20711 }, { -0.5, -1.91421, -1.20711 },
					{ -0.5, 1.91421, 1.20711 }, { -0.5, 1.91421, -1.20711 },
					{ 0.5, 1.20711, -1.91421 }, { 0.5, 1.20711, 1.91421 },
					{ 0.5, -1.20711, -1.91421 }, { 0.5, -1.20711, 1.91421 },
					{ 0.5, -1.91421, 1.20711 }, { 0.5, -1.91421, -1.20711 },
					{ 0.5, 1.91421, 1.20711 }, { 0.5, 1.91421, -1.20711 },
					{ 1.20711, -0.5, -1.91421 }, { 1.20711, -0.5, 1.91421 },
					{ 1.20711, 0.5, -1.91421 }, { 1.20711, 0.5, 1.91421 },
					{ 1.20711, -1.91421, -0.5 }, { 1.20711, -1.91421, 0.5 },
					{ 1.20711, 1.91421, -0.5 }, { 1.20711, 1.91421, 0.5 },
					{ -1.20711, -0.5, -1.91421 }, { -1.20711, -0.5, 1.91421 },
					{ -1.20711, 0.5, -1.91421 }, { -1.20711, 0.5, 1.91421 },
					{ -1.20711, -1.91421, -0.5 }, { -1.20711, -1.91421, 0.5 },
					{ -1.20711, 1.91421, -0.5 }, { -1.20711, 1.91421, 0.5 },
					{ -1.91421, -0.5, 1.20711 }, { -1.91421, -0.5, -1.20711 },
					{ -1.91421, 0.5, 1.20711 }, { -1.91421, 0.5, -1.20711 },
					{ -1.91421, 1.20711, -0.5 }, { -1.91421, 1.20711, 0.5 },
					{ -1.91421, -1.20711, -0.5 }, { -1.91421, -1.20711, 0.5 },
					{ 1.91421, -0.5, 1.20711 }, { 1.91421, -0.5, -1.20711 },
					{ 1.91421, 0.5, 1.20711 }, { 1.91421, 0.5, -1.20711 },
					{ 1.91421, 1.20711, -0.5 }, { 1.91421, 1.20711, 0.5 },
					{ 1.91421, -1.20711, -0.5 }, { 1.91421, -1.20711, 0.5 } },
			{ { 0., -1.61803, 0. }, { 0., 1.61803, 0. },
					{ 0.262866, -0.809017, -1.37638 },
					{ 0.262866, 0.809017, -1.37638 },
					{ 0.425325, -1.30902, 0.850651 },
					{ 0.425325, 1.30902, 0.850651 },
					{ 0.688191, -0.5, 1.37638 }, { 0.688191, 0.5, 1.37638 },
					{ 1.11352, -0.809017, -0.850651 },
					{ 1.11352, 0.809017, -0.850651 },
					{ -1.37638, 0., -0.850651 }, { -0.688191, -0.5, -1.37638 },
					{ -0.688191, 0.5, -1.37638 }, { 1.37638, 0., 0.850651 },
					{ 0.951057, -1.30902, 0. }, { 0.951057, 1.30902, 0. },
					{ 0.850651, 0., -1.37638 }, { -0.951057, -1.30902, 0. },
					{ -0.951057, 1.30902, 0. }, { -1.53884, -0.5, 0. },
					{ -1.53884, 0.5, 0. }, { 1.53884, -0.5, 0. },
					{ 1.53884, 0.5, 0. }, { -0.850651, 0., 1.37638 },
					{ -1.11352, -0.809017, 0.850651 },
					{ -1.11352, 0.809017, 0.850651 },
					{ -0.425325, -1.30902, -0.850651 },
					{ -0.425325, 1.30902, -0.850651 },
					{ -0.262866, -0.809017, 1.37638 },
					{ -0.262866, 0.809017, 1.37638 } },
			{ { -0.5, -0.5, -2.11803 }, { -0.5, -0.5, 2.11803 },
					{ -0.5, 0.5, -2.11803 }, { -0.5, 0.5, 2.11803 },
					{ -0.5, -2.11803, -0.5 }, { -0.5, -2.11803, 0.5 },
					{ -0.5, 2.11803, -0.5 }, { -0.5, 2.11803, 0.5 },
					{ 0., -1.30902, -1.80902 }, { 0., -1.30902, 1.80902 },
					{ 0., 1.30902, -1.80902 }, { 0., 1.30902, 1.80902 },
					{ 0.5, -0.5, -2.11803 }, { 0.5, -0.5, 2.11803 },
					{ 0.5, 0.5, -2.11803 }, { 0.5, 0.5, 2.11803 },
					{ 0.5, -2.11803, -0.5 }, { 0.5, -2.11803, 0.5 },
					{ 0.5, 2.11803, -0.5 }, { 0.5, 2.11803, 0.5 },
					{ -1.80902, 0., -1.30902 }, { -1.80902, 0., 1.30902 },
					{ -0.809017, -1.61803, -1.30902 },
					{ -0.809017, -1.61803, 1.30902 },
					{ -0.809017, 1.61803, -1.30902 },
					{ -0.809017, 1.61803, 1.30902 },
					{ -1.61803, -1.30902, -0.809017 },
					{ -1.61803, -1.30902, 0.809017 },
					{ -1.61803, 1.30902, -0.809017 },
					{ -1.61803, 1.30902, 0.809017 }, { -2.11803, -0.5, -0.5 },
					{ -2.11803, -0.5, 0.5 }, { -2.11803, 0.5, -0.5 },
					{ -2.11803, 0.5, 0.5 }, { -1.30902, -1.80902, 0. },
					{ -1.30902, -0.809017, -1.61803 },
					{ -1.30902, -0.809017, 1.61803 },
					{ -1.30902, 0.809017, -1.61803 },
					{ -1.30902, 0.809017, 1.61803 }, { -1.30902, 1.80902, 0. },
					{ 0.809017, -1.61803, -1.30902 },
					{ 0.809017, -1.61803, 1.30902 },
					{ 0.809017, 1.61803, -1.30902 },
					{ 0.809017, 1.61803, 1.30902 },
					{ 1.61803, -1.30902, -0.809017 },
					{ 1.61803, -1.30902, 0.809017 },
					{ 1.61803, 1.30902, -0.809017 },
					{ 1.61803, 1.30902, 0.809017 }, { 2.11803, -0.5, -0.5 },
					{ 2.11803, -0.5, 0.5 }, { 2.11803, 0.5, -0.5 },
					{ 2.11803, 0.5, 0.5 }, { 1.30902, -1.80902, 0. },
					{ 1.30902, -0.809017, -1.61803 },
					{ 1.30902, -0.809017, 1.61803 },
					{ 1.30902, 0.809017, -1.61803 },
					{ 1.30902, 0.809017, 1.61803 }, { 1.30902, 1.80902, 0. },
					{ 1.80902, 0., -1.30902 }, { 1.80902, 0., 1.30902 } },
			{ { -0.5, -0.5, -1.20711 }, { -0.5, -0.5, 1.20711 },
					{ -0.5, 0.5, -1.20711 }, { -0.5, 0.5, 1.20711 },
					{ -0.5, -1.20711, -0.5 }, { -0.5, -1.20711, 0.5 },
					{ -0.5, 1.20711, -0.5 }, { -0.5, 1.20711, 0.5 },
					{ 0.5, -0.5, -1.20711 }, { 0.5, -0.5, 1.20711 },
					{ 0.5, 0.5, -1.20711 }, { 0.5, 0.5, 1.20711 },
					{ 0.5, -1.20711, -0.5 }, { 0.5, -1.20711, 0.5 },
					{ 0.5, 1.20711, -0.5 }, { 0.5, 1.20711, 0.5 },
					{ -1.20711, -0.5, -0.5 }, { -1.20711, -0.5, 0.5 },
					{ -1.20711, 0.5, -0.5 }, { -1.20711, 0.5, 0.5 },
					{ 1.20711, -0.5, -0.5 }, { 1.20711, -0.5, 0.5 },
					{ 1.20711, 0.5, -0.5 }, { 1.20711, 0.5, 0.5 } },
			{ { -1.14261, -0.337754, -0.621226 },
					{ -1.14261, 0.337754, 0.621226 },
					{ -1.14261, -0.621226, 0.337754 },
					{ -1.14261, 0.621226, -0.337754 },
					{ 1.14261, -0.337754, 0.621226 },
					{ 1.14261, 0.337754, -0.621226 },
					{ 1.14261, -0.621226, -0.337754 },
					{ 1.14261, 0.621226, 0.337754 },
					{ -0.337754, -1.14261, 0.621226 },
					{ -0.337754, 1.14261, -0.621226 },
					{ -0.337754, -0.621226, -1.14261 },
					{ -0.337754, 0.621226, 1.14261 },
					{ 0.337754, -1.14261, -0.621226 },
					{ 0.337754, 1.14261, 0.621226 },
					{ 0.337754, -0.621226, 1.14261 },
					{ 0.337754, 0.621226, -1.14261 },
					{ -0.621226, -1.14261, -0.337754 },
					{ -0.621226, 1.14261, 0.337754 },
					{ -0.621226, -0.337754, 1.14261 },
					{ -0.621226, 0.337754, -1.14261 },
					{ 0.621226, -1.14261, 0.337754 },
					{ 0.621226, 1.14261, -0.337754 },
					{ 0.621226, -0.337754, -1.14261 },
					{ 0.621226, 0.337754, 1.14261 } },
			{ { -2.05022, -0.64303, 0.175393 },
					{ 2.05022, -0.64303, -0.175393 },
					{ -1.64507, 0.64303, 1.23608 },
					{ 1.64507, 0.64303, -1.23608 },
					{ -2.09275, 0.330921, 0.398127 },
					{ 2.09275, 0.330921, -0.398127 },
					{ -1.33296, 1.64692, -0.398127 },
					{ 1.33296, 1.64692, 0.398127 },
					{ -1.82527, -0.330921, 1.09842 },
					{ 1.82527, -0.330921, -1.09842 },
					{ -0.626047, 1.74619, -1.09842 },
					{ 0.626047, 1.74619, 1.09842 },
					{ -1.06222, 1.45402, 1.18539 },
					{ 1.06222, 1.45402, -1.18539 },
					{ -1.93214, 0.84755, -0.442882 },
					{ 1.93214, 0.84755, 0.442882 },
					{ -1.14487, -0.84755, 1.6182 },
					{ 1.14487, -0.84755, -1.6182 },
					{ -1.58199, -1.45402, -0.175393 },
					{ 1.58199, -1.45402, 0.175393 },
					{ -1.05741, 0.374822, -1.84093 },
					{ 1.05741, 0.374822, 1.84093 },
					{ -0.439138, -0.374822, -2.07709 },
					{ 0.439138, -0.374822, 2.07709 },
					{ -1.56241, -1.2495, 0.803274 },
					{ 1.56241, -1.2495, -0.803274 },
					{ -1.86331, -0.728335, -0.803274 },
					{ 1.86331, -0.728335, 0.803274 },
					{ -1.70007, 1.2495, 0.442882 },
					{ 1.70007, 1.2495, -0.442882 },
					{ -0.728114, -1.64692, 1.18539 },
					{ 0.728114, -1.64692, -1.18539 },
					{ -0.265655, -1.74619, -1.23608 },
					{ 0.265655, -1.74619, 1.23608 },
					{ -0.759791, -1.97784, -0.398127 },
					{ 0.759791, -1.97784, 0.398127 },
					{ -1.19922, -1.41527, -1.09842 },
					{ 1.19922, -1.41527, 1.09842 },
					{ -1.79033, 0.192894, -1.18539 },
					{ 1.79033, 0.192894, 1.18539 },
					{ -1.30644, -0.567715, -1.6182 },
					{ 1.30644, -0.567715, 1.6182 },
					{ -0.853311, 0.728335, 1.84093 },
					{ 0.853311, 0.728335, -1.84093 },
					{ -1.37941, 1.10316, -1.23608 },
					{ 1.37941, 1.10316, 1.23608 },
					{ -0.105036, 0.567715, -2.07709 },
					{ 0.105036, 0.567715, 2.07709 },
					{ -0.468228, 2.09705, -0.175393 },
					{ 0.468228, 2.09705, 0.175393 },
					{ -0.300897, 1.97784, 0.803274 },
					{ 0.300897, 1.97784, -0.803274 },
					{ -0.161563, 1.41527, 1.6182 },
					{ 0.161563, 1.41527, -1.6182 },
					{ -0.544174, -0.192894, 2.07709 },
					{ 0.544174, -0.192894, -2.07709 },
					{ -0.232068, -2.09705, 0.442882 },
					{ 0.232068, -2.09705, -0.442882 },
					{ -0.204101, -1.10316, 1.84093 },
					{ 0.204101, -1.10316, -1.84093 } },
			{ { -0.5, 1.20711, 1.20711 }, { -0.5, 1.20711, -1.20711 },
					{ -0.5, -1.20711, 1.20711 }, { -0.5, -1.20711, -1.20711 },
					{ 0.5, 1.20711, 1.20711 }, { 0.5, 1.20711, -1.20711 },
					{ 0.5, -1.20711, 1.20711 }, { 0.5, -1.20711, -1.20711 },
					{ 1.20711, -0.5, 1.20711 }, { 1.20711, -0.5, -1.20711 },
					{ 1.20711, 0.5, 1.20711 }, { 1.20711, 0.5, -1.20711 },
					{ 1.20711, 1.20711, -0.5 }, { 1.20711, 1.20711, 0.5 },
					{ 1.20711, -1.20711, -0.5 }, { 1.20711, -1.20711, 0.5 },
					{ -1.20711, -0.5, 1.20711 }, { -1.20711, -0.5, -1.20711 },
					{ -1.20711, 0.5, 1.20711 }, { -1.20711, 0.5, -1.20711 },
					{ -1.20711, 1.20711, -0.5 }, { -1.20711, 1.20711, 0.5 },
					{ -1.20711, -1.20711, -0.5 }, { -1.20711, -1.20711, 0.5 } },
			{ { 0., -1.61803, 2.4899 }, { 0., -1.61803, -2.4899 },
					{ 0., 1.61803, 2.4899 }, { 0., 1.61803, -2.4899 },
					{ 0.425325, -2.92705, 0.262866 },
					{ 0.425325, 2.92705, 0.262866 },
					{ 0.688191, -2.11803, 1.96417 },
					{ 0.688191, 2.11803, 1.96417 }, { -2.75276, 0., -1.11352 },
					{ -2.06457, -2.11803, 0.262866 },
					{ -2.06457, 2.11803, 0.262866 },
					{ -1.37638, -2.61803, -0.262866 },
					{ -1.37638, 2.61803, -0.262866 },
					{ -0.688191, -2.11803, -1.96417 },
					{ -0.688191, 2.11803, -1.96417 },
					{ 1.37638, -2.61803, 0.262866 },
					{ 1.37638, 2.61803, 0.262866 }, { 2.75276, 0., 1.11352 },
					{ 1.80171, -1.30902, -1.96417 },
					{ 1.80171, 1.30902, -1.96417 },
					{ 2.06457, -2.11803, -0.262866 },
					{ 2.06457, 2.11803, -0.262866 }, { 2.22703, 0., 1.96417 },
					{ 2.22703, -1.61803, -1.11352 },
					{ 2.22703, 1.61803, -1.11352 },
					{ -2.65236, -1.30902, 0.262866 },
					{ -2.65236, 1.30902, 0.262866 },
					{ 2.65236, -1.30902, -0.262866 },
					{ 2.65236, 1.30902, -0.262866 },
					{ 2.91522, -0.5, 0.262866 }, { 2.91522, 0.5, 0.262866 },
					{ -2.91522, -0.5, -0.262866 },
					{ -2.91522, 0.5, -0.262866 },
					{ 0.951057, -1.30902, 2.4899 },
					{ 0.951057, -1.30902, -2.4899 },
					{ 0.951057, 1.30902, 2.4899 },
					{ 0.951057, 1.30902, -2.4899 },
					{ 0.850651, -2.61803, 1.11352 },
					{ 0.850651, 2.61803, 1.11352 },
					{ -0.951057, -1.30902, 2.4899 },
					{ -0.951057, -1.30902, -2.4899 },
					{ -0.951057, 1.30902, 2.4899 },
					{ -0.951057, 1.30902, -2.4899 },
					{ -1.53884, -0.5, 2.4899 }, { -1.53884, -0.5, -2.4899 },
					{ -1.53884, 0.5, 2.4899 }, { -1.53884, 0.5, -2.4899 },
					{ 1.53884, -0.5, 2.4899 }, { 1.53884, -0.5, -2.4899 },
					{ 1.53884, 0.5, 2.4899 }, { 1.53884, 0.5, -2.4899 },
					{ -2.22703, 0., -1.96417 },
					{ -2.22703, -1.61803, 1.11352 },
					{ -2.22703, 1.61803, 1.11352 },
					{ -0.850651, -2.61803, -1.11352 },
					{ -0.850651, 2.61803, -1.11352 },
					{ -1.80171, -1.30902, 1.96417 },
					{ -1.80171, 1.30902, 1.96417 },
					{ -0.425325, -2.92705, -0.262866 },
					{ -0.425325, 2.92705, -0.262866 } },
			{ { -0.16246, -2.11803, 1.27598 }, { -0.16246, 2.11803, 1.27598 },
					{ 0.16246, -2.11803, -1.27598 },
					{ 0.16246, 2.11803, -1.27598 },
					{ -0.262866, -0.809017, -2.32744 },
					{ -0.262866, -2.42705, -0.425325 },
					{ -0.262866, 0.809017, -2.32744 },
					{ -0.262866, 2.42705, -0.425325 },
					{ 0.262866, -0.809017, 2.32744 },
					{ 0.262866, -2.42705, 0.425325 },
					{ 0.262866, 0.809017, 2.32744 },
					{ 0.262866, 2.42705, 0.425325 },
					{ 0.688191, -0.5, -2.32744 }, { 0.688191, 0.5, -2.32744 },
					{ 1.21392, -2.11803, 0.425325 },
					{ 1.21392, 2.11803, 0.425325 },
					{ -2.06457, -0.5, 1.27598 }, { -2.06457, 0.5, 1.27598 },
					{ -1.37638, -1., 1.80171 }, { -1.37638, 1., 1.80171 },
					{ -1.37638, -1.61803, -1.27598 },
					{ -1.37638, 1.61803, -1.27598 },
					{ -0.688191, -0.5, 2.32744 }, { -0.688191, 0.5, 2.32744 },
					{ 1.37638, -1., -1.80171 }, { 1.37638, 1., -1.80171 },
					{ 1.37638, -1.61803, 1.27598 },
					{ 1.37638, 1.61803, 1.27598 }, { -1.7013, 0., -1.80171 },
					{ 1.7013, 0., 1.80171 }, { -1.21392, -2.11803, -0.425325 },
					{ -1.21392, 2.11803, -0.425325 },
					{ -1.96417, -0.809017, -1.27598 },
					{ -1.96417, 0.809017, -1.27598 },
					{ 2.06457, -0.5, -1.27598 }, { 2.06457, 0.5, -1.27598 },
					{ 2.22703, -1., -0.425325 }, { 2.22703, 1., -0.425325 },
					{ 2.38949, -0.5, 0.425325 }, { 2.38949, 0.5, 0.425325 },
					{ -1.11352, -1.80902, 1.27598 },
					{ -1.11352, 1.80902, 1.27598 },
					{ 1.11352, -1.80902, -1.27598 },
					{ 1.11352, 1.80902, -1.27598 },
					{ -2.38949, -0.5, -0.425325 },
					{ -2.38949, 0.5, -0.425325 },
					{ -1.63925, -1.80902, 0.425325 },
					{ -1.63925, 1.80902, 0.425325 },
					{ 1.63925, -1.80902, -0.425325 },
					{ 1.63925, 1.80902, -0.425325 },
					{ 1.96417, -0.809017, 1.27598 },
					{ 1.96417, 0.809017, 1.27598 }, { 0.850651, 0., 2.32744 },
					{ -2.22703, -1., 0.425325 }, { -2.22703, 1., 0.425325 },
					{ -0.850651, 0., -2.32744 },
					{ -0.525731, -1.61803, -1.80171 },
					{ -0.525731, 1.61803, -1.80171 },
					{ 0.525731, -1.61803, 1.80171 },
					{ 0.525731, 1.61803, 1.80171 } },
			{ { -1.5, -0.5, 0. }, { -1.5, 0.5, 0. }, { -1., -1., -0.707107 },
					{ -1., -1., 0.707107 }, { -1., 1., -0.707107 },
					{ -1., 1., 0.707107 }, { -0.5, -1.5, 0. },
					{ -0.5, -0.5, -1.41421 }, { -0.5, -0.5, 1.41421 },
					{ -0.5, 0.5, -1.41421 }, { -0.5, 0.5, 1.41421 },
					{ -0.5, 1.5, 0. }, { 0.5, -1.5, 0. },
					{ 0.5, -0.5, -1.41421 }, { 0.5, -0.5, 1.41421 },
					{ 0.5, 0.5, -1.41421 }, { 0.5, 0.5, 1.41421 },
					{ 0.5, 1.5, 0. }, { 1., -1., -0.707107 },
					{ 1., -1., 0.707107 }, { 1., 1., -0.707107 },
					{ 1., 1., 0.707107 }, { 1.5, -0.5, 0. }, { 1.5, 0.5, 0. } },
			{ { 0., -1., -0.612372 }, { 0., 1., -0.612372 },
					{ -0.57735, -1., 0.204124 }, { -0.57735, 1., 0.204124 },
					{ -0.288675, -0.5, 1.02062 }, { -0.288675, 0.5, 1.02062 },
					{ 0.57735, 0., 1.02062 }, { 1.1547, 0., 0.204124 },
					{ -0.866025, -0.5, -0.612372 },
					{ -0.866025, 0.5, -0.612372 },
					{ 0.866025, -0.5, -0.612372 }, { 0.866025, 0.5, -0.612372 } } };

	static final int[][][] Afaces = {
			{ { 3, 9, 7, 1 }, { 2, 8, 10, 4 }, { 8, 5, 7, 11 }, { 2, 0, 1, 5 },
					{ 4, 6, 3, 0 }, { 10, 11, 9, 6 }, { 11, 10, 8 },
					{ 2, 4, 0 }, { 5, 8, 2 }, { 4, 10, 6 }, { 7, 9, 11 },
					{ 0, 3, 1 }, { 1, 7, 5 }, { 6, 9, 3 } },
			{ { 1, 5, 7, 3, 43, 55, 67, 65, 53, 41 },
					{ 108, 28, 16, 18, 30, 110, 102, 106, 104, 100 },
					{ 23, 29, 17, 5, 1, 11 }, { 6, 2, 14, 26, 30, 18 },
					{ 57, 56, 32, 36, 72, 68, 69, 73, 37, 33 },
					{ 83, 115, 119, 87, 86, 118, 114, 82, 90, 91 },
					{ 89, 88, 80, 112, 116, 84, 85, 117, 113, 81 },
					{ 35, 39, 75, 71, 70, 74, 38, 34, 58, 59 },
					{ 4, 16, 28, 22, 10, 0 }, { 3, 7, 19, 31, 27, 15 },
					{ 66, 54, 42, 2, 6, 4, 0, 40, 52, 64 },
					{ 17, 29, 109, 101, 105, 107, 103, 111, 31, 19 },
					{ 78, 82, 114, 102, 110, 96 }, { 37, 73, 61, 47, 41, 53 },
					{ 3, 15, 49, 43 }, { 22, 28, 108, 94 },
					{ 95, 109, 29, 23 }, { 42, 48, 14, 2 },
					{ 52, 40, 46, 60, 72, 36 }, { 97, 111, 103, 115, 83, 79 },
					{ 68, 44, 8, 9, 45, 69 }, { 25, 99, 91, 90, 98, 24 },
					{ 81, 113, 101, 109, 95, 77 }, { 54, 38, 74, 62, 48, 42 },
					{ 0, 10, 46, 40 }, { 27, 31, 111, 97 },
					{ 60, 46, 10, 22, 94, 76, 92, 20, 8, 44 },
					{ 49, 15, 27, 97, 79, 99, 25, 13, 51, 63 },
					{ 96, 110, 30, 26 }, { 41, 47, 11, 1 },
					{ 43, 49, 63, 75, 39, 55 }, { 76, 94, 108, 100, 112, 80 },
					{ 62, 50, 12, 24, 98, 78, 96, 26, 14, 48 },
					{ 45, 9, 21, 93, 77, 95, 23, 11, 47, 61 },
					{ 51, 13, 12, 50, 70, 71 }, { 21, 20, 92, 88, 89, 93 },
					{ 114, 118, 106, 102 }, { 33, 37, 53, 65 },
					{ 70, 50, 62, 74 }, { 93, 89, 81, 77 },
					{ 113, 117, 105, 101 }, { 34, 38, 54, 66 },
					{ 69, 45, 61, 73 }, { 98, 90, 82, 78 }, { 64, 52, 36, 32 },
					{ 103, 107, 119, 115 }, { 76, 80, 88, 92 },
					{ 75, 63, 51, 71 }, { 58, 34, 66, 64, 32, 56 },
					{ 105, 117, 85, 87, 119, 107 }, { 67, 55, 39, 35 },
					{ 100, 104, 116, 112 }, { 79, 83, 91, 99 },
					{ 72, 60, 44, 68 }, { 33, 65, 67, 35, 59, 57 },
					{ 104, 106, 118, 86, 84, 116 }, { 6, 18, 16, 4 },
					{ 5, 17, 19, 7 }, { 13, 25, 24, 12 }, { 8, 20, 21, 9 },
					{ 57, 59, 58, 56 }, { 84, 86, 87, 85 } },
			{ { 43, 41, 16, 18 }, { 13, 5, 2, 10 }, { 33, 35, 26, 24 },
					{ 7, 15, 8, 0 }, { 19, 17, 40, 42 }, { 11, 3, 4, 12 },
					{ 25, 27, 34, 32 }, { 1, 9, 14, 6 }, { 44, 22, 23, 45 },
					{ 38, 28, 29, 39 }, { 47, 21, 20, 46 }, { 37, 31, 30, 36 },
					{ 8, 18, 16, 10, 2, 24, 26, 0 },
					{ 1, 27, 25, 3, 11, 17, 19, 9 },
					{ 40, 47, 46, 41, 43, 44, 45, 42 },
					{ 34, 37, 36, 35, 33, 38, 39, 32 },
					{ 14, 23, 22, 15, 7, 30, 31, 6 },
					{ 4, 29, 28, 5, 13, 20, 21, 12 },
					{ 45, 23, 14, 9, 19, 42 }, { 34, 27, 1, 6, 31, 37 },
					{ 40, 17, 11, 12, 21, 47 }, { 39, 29, 4, 3, 25, 32 },
					{ 43, 18, 8, 15, 22, 44 }, { 36, 30, 7, 0, 26, 35 },
					{ 46, 20, 13, 10, 16, 41 }, { 33, 24, 2, 5, 28, 38 } },
			{ { 29, 23, 28, 6, 7 }, { 25, 23, 29 }, { 24, 28, 23 },
					{ 4, 6, 28 }, { 13, 7, 6 }, { 5, 29, 7 }, { 15, 1, 5 },
					{ 18, 20, 25 }, { 19, 17, 24 }, { 0, 14, 4 },
					{ 21, 22, 13 }, { 1, 18, 25, 29, 5 },
					{ 20, 19, 24, 23, 25 }, { 17, 0, 4, 28, 24 },
					{ 14, 21, 13, 6, 4 }, { 22, 15, 5, 7, 13 },
					{ 11, 12, 3, 16, 2 }, { 2, 16, 8 }, { 16, 3, 9 },
					{ 3, 12, 27 }, { 12, 11, 10 }, { 11, 2, 26 },
					{ 26, 0, 17 }, { 8, 21, 14 }, { 9, 15, 22 }, { 27, 18, 1 },
					{ 10, 19, 20 }, { 26, 2, 8, 14, 0 }, { 8, 16, 9, 22, 21 },
					{ 9, 3, 27, 1, 15 }, { 27, 12, 10, 20, 18 },
					{ 10, 11, 26, 17, 19 } },
			{ { 35, 22, 26 }, { 36, 27, 23 }, { 39, 7, 6 }, { 34, 4, 5 },
					{ 37, 28, 24 }, { 38, 25, 29 }, { 9, 13, 1 }, { 8, 0, 12 },
					{ 11, 3, 15 }, { 10, 14, 2 }, { 53, 44, 40 },
					{ 54, 41, 45 }, { 57, 18, 19 }, { 52, 17, 16 },
					{ 55, 42, 46 }, { 56, 47, 43 }, { 33, 31, 21 },
					{ 32, 20, 30 }, { 58, 50, 48 }, { 59, 49, 51 },
					{ 26, 30, 20, 35 }, { 22, 35, 0, 8 }, { 9, 1, 36, 23 },
					{ 36, 21, 31, 27 }, { 7, 39, 29, 25 }, { 24, 28, 39, 6 },
					{ 34, 26, 22, 4 }, { 5, 23, 27, 34 }, { 2, 37, 24, 10 },
					{ 20, 32, 28, 37 }, { 38, 29, 33, 21 }, { 11, 25, 38, 3 },
					{ 54, 13, 9, 41 }, { 40, 8, 12, 53 }, { 56, 43, 11, 15 },
					{ 14, 10, 42, 55 }, { 44, 53, 58, 48 }, { 49, 59, 54, 45 },
					{ 47, 57, 19, 43 }, { 42, 18, 57, 46 }, { 52, 16, 40, 44 },
					{ 45, 41, 17, 52 }, { 58, 55, 46, 50 }, { 51, 47, 56, 59 },
					{ 30, 31, 33, 32 }, { 16, 17, 5, 4 }, { 0, 2, 14, 12 },
					{ 13, 15, 3, 1 }, { 6, 7, 19, 18 }, { 50, 51, 49, 48 },
					{ 2, 0, 35, 20, 37 }, { 21, 36, 1, 3, 38 },
					{ 28, 32, 33, 29, 39 }, { 26, 34, 27, 31, 30 },
					{ 41, 9, 23, 5, 17 }, { 40, 16, 4, 22, 8 },
					{ 19, 7, 25, 11, 43 }, { 10, 24, 6, 18, 42 },
					{ 55, 58, 53, 12, 14 }, { 56, 15, 13, 54, 59 },
					{ 57, 47, 51, 50, 46 }, { 48, 49, 45, 52, 44 } },
			{ { 2, 10, 8, 0 }, { 1, 9, 11, 3 }, { 23, 21, 20, 22 },
					{ 18, 16, 17, 19 }, { 4, 12, 13, 5 }, { 7, 15, 14, 6 },
					{ 12, 20, 21, 13 }, { 15, 23, 22, 14 }, { 5, 17, 16, 4 },
					{ 6, 18, 19, 7 }, { 5, 13, 9, 1 }, { 3, 11, 15, 7 },
					{ 21, 23, 11, 9 }, { 1, 3, 19, 17 }, { 0, 8, 12, 4 },
					{ 6, 14, 10, 2 }, { 8, 10, 22, 20 }, { 16, 18, 2, 0 },
					{ 21, 9, 13 }, { 15, 11, 23 }, { 5, 1, 17 }, { 19, 3, 7 },
					{ 12, 8, 20 }, { 22, 10, 14 }, { 16, 0, 4 }, { 6, 2, 18 } },
			{ { 2, 0, 16 }, { 2, 16, 8 }, { 2, 18, 1 }, { 2, 8, 18 },
					{ 0, 3, 19 }, { 0, 19, 10 }, { 0, 10, 16 }, { 1, 18, 11 },
					{ 1, 17, 3 }, { 1, 11, 17 }, { 3, 17, 9 }, { 3, 9, 19 },
					{ 16, 10, 12 }, { 18, 8, 14 }, { 17, 11, 13 },
					{ 19, 9, 15 }, { 8, 20, 14 }, { 10, 22, 12 },
					{ 11, 23, 13 }, { 9, 21, 15 }, { 12, 22, 6 },
					{ 12, 6, 20 }, { 14, 20, 4 }, { 14, 4, 23 }, { 15, 21, 5 },
					{ 15, 5, 22 }, { 13, 23, 7 }, { 13, 7, 21 }, { 20, 6, 4 },
					{ 22, 5, 6 }, { 23, 4, 7 }, { 21, 7, 5 }, { 0, 2, 1, 3 },
					{ 20, 8, 16, 12 }, { 23, 11, 18, 14 }, { 9, 17, 13, 21 },
					{ 10, 19, 15, 22 }, { 7, 4, 6, 5 } },
			{ { 4, 0, 8 }, { 4, 8, 2 }, { 4, 28, 14 }, { 4, 2, 28 },
					{ 0, 26, 18 }, { 0, 18, 24 }, { 0, 24, 8 }, { 14, 28, 6 },
					{ 14, 44, 38 }, { 14, 6, 44 }, { 26, 38, 40 },
					{ 26, 40, 36 }, { 26, 36, 18 }, { 8, 24, 16 },
					{ 38, 44, 20 }, { 38, 20, 40 }, { 28, 2, 12 },
					{ 2, 42, 12 }, { 18, 36, 34 }, { 24, 30, 16 },
					{ 44, 6, 10 }, { 6, 48, 10 }, { 40, 20, 22 },
					{ 36, 32, 34 }, { 16, 30, 58 }, { 16, 58, 54 },
					{ 12, 42, 52 }, { 12, 52, 50 }, { 20, 46, 22 },
					{ 42, 54, 47 }, { 42, 47, 52 }, { 34, 32, 57 },
					{ 34, 57, 56 }, { 30, 56, 33 }, { 30, 33, 58 },
					{ 10, 48, 51 }, { 10, 51, 53 }, { 54, 58, 23 },
					{ 54, 23, 47 }, { 48, 50, 49 }, { 48, 49, 51 },
					{ 22, 46, 55 }, { 22, 55, 59 }, { 50, 52, 11 },
					{ 50, 11, 49 }, { 32, 59, 31 }, { 32, 31, 57 },
					{ 56, 57, 35 }, { 56, 35, 33 }, { 46, 53, 43 },
					{ 46, 43, 55 }, { 47, 23, 21 }, { 53, 51, 13 },
					{ 53, 13, 43 }, { 59, 55, 17 }, { 59, 17, 31 },
					{ 33, 35, 37 }, { 23, 41, 21 }, { 49, 11, 7 },
					{ 11, 45, 7 }, { 31, 17, 25 }, { 35, 19, 37 },
					{ 43, 13, 3 }, { 21, 41, 39 }, { 21, 39, 45 },
					{ 13, 29, 3 }, { 17, 9, 25 }, { 37, 19, 27 },
					{ 37, 27, 41 }, { 41, 27, 39 }, { 7, 45, 15 },
					{ 7, 15, 29 }, { 45, 39, 15 }, { 25, 9, 1 }, { 25, 1, 19 },
					{ 19, 1, 27 }, { 3, 29, 5 }, { 3, 5, 9 }, { 29, 15, 5 },
					{ 9, 5, 1 }, { 38, 26, 0, 4, 14 }, { 2, 8, 16, 54, 42 },
					{ 50, 48, 6, 28, 12 }, { 56, 30, 24, 18, 34 },
					{ 46, 20, 44, 10, 53 }, { 32, 36, 40, 22, 59 },
					{ 41, 23, 58, 33, 37 }, { 45, 11, 52, 47, 21 },
					{ 35, 57, 31, 25, 19 }, { 13, 51, 49, 7, 29 },
					{ 43, 3, 9, 17, 55 }, { 15, 39, 27, 1, 5 } },
			{ { 5, 11, 9, 7, 3, 17, 19, 1 }, { 0, 18, 16, 2, 6, 8, 10, 4 },
					{ 2, 23, 22, 3, 7, 14, 15, 6 },
					{ 4, 13, 12, 5, 1, 20, 21, 0 },
					{ 8, 15, 14, 9, 11, 12, 13, 10 },
					{ 18, 21, 20, 19, 17, 22, 23, 16 }, { 15, 8, 6 },
					{ 4, 10, 13 }, { 2, 16, 23 }, { 21, 18, 0 }, { 7, 9, 14 },
					{ 12, 11, 5 }, { 22, 17, 3 }, { 1, 19, 20 } },
			{ { 2, 41, 45, 43, 39, 0, 33, 47, 49, 35 },
					{ 46, 42, 3, 36, 50, 48, 34, 1, 40, 44 },
					{ 1, 34, 18, 23, 20, 15, 4, 58, 54, 13 },
					{ 48, 50, 19, 24, 28, 30, 29, 27, 23, 18 },
					{ 36, 3, 14, 55, 59, 5, 16, 21, 24, 19 },
					{ 42, 46, 51, 8, 32, 26, 10, 12, 55, 14 },
					{ 44, 40, 13, 54, 11, 9, 25, 31, 8, 51 },
					{ 5, 59, 12, 10, 53, 57, 41, 2, 7, 38 },
					{ 26, 32, 31, 25, 52, 56, 43, 45, 57, 53 },
					{ 9, 11, 58, 4, 37, 6, 0, 39, 56, 52 },
					{ 15, 20, 27, 29, 17, 22, 47, 33, 6, 37 },
					{ 30, 28, 21, 16, 38, 7, 35, 49, 22, 17 }, { 8, 31, 32 },
					{ 17, 29, 30 }, { 46, 44, 51 }, { 49, 47, 22 },
					{ 9, 52, 25 }, { 26, 53, 10 }, { 20, 23, 27 },
					{ 28, 24, 21 }, { 39, 43, 56 }, { 57, 45, 41 },
					{ 34, 48, 18 }, { 19, 50, 36 }, { 11, 54, 58 },
					{ 59, 55, 12 }, { 40, 1, 13 }, { 14, 3, 42 }, { 33, 0, 6 },
					{ 7, 2, 35 }, { 37, 4, 15 }, { 16, 5, 38 } },
			{ { 52, 10, 23, 22, 8 }, { 50, 38, 39, 51, 29 },
					{ 59, 27, 15, 11, 1 }, { 19, 41, 47, 54, 17 },
					{ 18, 16, 53, 46, 40 }, { 0, 9, 14, 26, 58 },
					{ 35, 25, 43, 49, 37 }, { 3, 57, 21, 31, 7 },
					{ 33, 28, 32, 44, 45 }, { 20, 56, 2, 5, 30 },
					{ 36, 48, 42, 24, 34 }, { 12, 4, 55, 6, 13 },
					{ 8, 58, 26, 50, 29, 52 }, { 52, 29, 51, 27, 59, 10 },
					{ 10, 59, 1, 41, 19, 23 }, { 23, 19, 17, 16, 18, 22 },
					{ 22, 18, 40, 0, 58, 8 }, { 12, 24, 42, 2, 56, 4 },
					{ 4, 56, 20, 32, 28, 55 }, { 55, 28, 33, 21, 57, 6 },
					{ 6, 57, 3, 43, 25, 13 }, { 13, 25, 35, 34, 24, 12 },
					{ 39, 37, 49, 15, 27, 51 }, { 15, 49, 43, 3, 7, 11 },
					{ 11, 7, 31, 47, 41, 1 }, { 47, 31, 21, 33, 45, 54 },
					{ 54, 45, 44, 53, 16, 17 }, { 53, 44, 32, 20, 30, 46 },
					{ 46, 30, 5, 9, 0, 40 }, { 9, 5, 2, 42, 48, 14 },
					{ 14, 48, 36, 38, 50, 26 }, { 38, 36, 34, 35, 37, 39 } },
			{ { 16, 10, 8, 14 }, { 13, 7, 9, 15 }, { 21, 23, 20, 17 },
					{ 11, 4, 1, 5 }, { 12, 18, 22, 19 }, { 3, 0, 2, 6 },
					{ 18, 12, 6, 2, 7, 13 }, { 14, 8, 3, 6, 12, 19 },
					{ 15, 9, 4, 11, 17, 20 }, { 21, 17, 11, 5, 10, 16 },
					{ 19, 22, 23, 21, 16, 14 }, { 13, 15, 20, 23, 22, 18 },
					{ 8, 10, 5, 1, 0, 3 }, { 2, 0, 1, 4, 9, 7 } },
			{ { 10, 11, 7 }, { 2, 8, 0 }, { 1, 9, 3 }, { 5, 4, 6 },
					{ 10, 7, 6, 4, 2, 0 }, { 1, 3, 5, 6, 7, 11 },
					{ 8, 2, 4, 5, 3, 9 }, { 1, 11, 10, 0, 8, 9 } } };

	final static String[] Pnames = { "cube", "dodecahedron", "icosahedron",
			"octahedron", "tetrahedron" };

	final static double[][][] Pvertices = {
			{ { -0.5, -0.5, -0.5 }, { -0.5, -0.5, 0.5 }, { -0.5, 0.5, -0.5 },
					{ -0.5, 0.5, 0.5 }, { 0.5, -0.5, -0.5 },
					{ 0.5, -0.5, 0.5 }, { 0.5, 0.5, -0.5 }, { 0.5, 0.5, 0.5 } },
			{ { 0., 0., 1.40126 }, { 0., 0., -1.40126 },
					{ 0.178411, -1.30902, 0.467086 },
					{ 0.178411, 1.30902, 0.467086 },
					{ 0.467086, -0.809017, -1.04444 },
					{ 0.467086, 0.809017, -1.04444 },
					{ 1.04444, -0.809017, 0.467086 },
					{ 1.04444, 0.809017, 0.467086 },
					{ -1.22285, -0.5, 0.467086 }, { -1.22285, 0.5, 0.467086 },
					{ 1.22285, -0.5, -0.467086 }, { 1.22285, 0.5, -0.467086 },
					{ -0.934172, 0., -1.04444 },
					{ -0.467086, -0.809017, 1.04444 },
					{ -0.467086, 0.809017, 1.04444 },
					{ 0.934172, 0., 1.04444 },
					{ -1.04444, -0.809017, -0.467086 },
					{ -1.04444, 0.809017, -0.467086 },
					{ -0.178411, -1.30902, -0.467086 },
					{ -0.178411, 1.30902, -0.467086 } },
			{ { 0., 0., -0.951057 }, { 0., 0., 0.951057 },
					{ -0.850651, 0., -0.425325 }, { 0.850651, 0., 0.425325 },
					{ 0.688191, -0.5, -0.425325 },
					{ 0.688191, 0.5, -0.425325 },
					{ -0.688191, -0.5, 0.425325 },
					{ -0.688191, 0.5, 0.425325 },
					{ -0.262866, -0.809017, -0.425325 },
					{ -0.262866, 0.809017, -0.425325 },
					{ 0.262866, -0.809017, 0.425325 },
					{ 0.262866, 0.809017, 0.425325 } },
			{ { -0.5, -0.5, 0. }, { -0.5, 0.5, 0. }, { 0., 0., -0.707107 },
					{ 0., 0., 0.707107 }, { 0.5, -0.5, 0. }, { 0.5, 0.5, 0. } },
			{ { 0., 0., 0.612372 }, { -0.288675, -0.5, -0.204124 },
					{ -0.288675, 0.5, -0.204124 }, { 0.57735, 0., -0.204124 } } };

	final static int[][][] Pfaces = {
			{ { 7, 3, 1, 5 }, { 7, 5, 4, 6 }, { 7, 6, 2, 3 }, { 3, 2, 0, 1 },
					{ 0, 2, 6, 4 }, { 1, 0, 4, 5 } },
			{ { 14, 9, 8, 13, 0 }, { 1, 5, 11, 10, 4 }, { 4, 10, 6, 2, 18 },
					{ 10, 11, 7, 15, 6 }, { 11, 5, 19, 3, 7 },
					{ 5, 1, 12, 17, 19 }, { 1, 4, 18, 16, 12 },
					{ 3, 19, 17, 9, 14 }, { 17, 12, 16, 8, 9 },
					{ 16, 18, 2, 13, 8 }, { 2, 6, 15, 0, 13 },
					{ 15, 7, 3, 14, 0 } },
			{ { 1, 11, 7 }, { 1, 7, 6 }, { 1, 6, 10 }, { 1, 10, 3 },
					{ 1, 3, 11 }, { 4, 8, 0 }, { 5, 4, 0 }, { 9, 5, 0 },
					{ 2, 9, 0 }, { 8, 2, 0 }, { 11, 9, 7 }, { 7, 2, 6 },
					{ 6, 8, 10 }, { 10, 4, 3 }, { 3, 5, 11 }, { 4, 10, 8 },
					{ 5, 3, 4 }, { 9, 11, 5 }, { 2, 7, 9 }, { 8, 6, 2 } },
			{ { 3, 4, 5 }, { 3, 5, 1 }, { 3, 1, 0 }, { 3, 0, 4 }, { 4, 0, 2 },
					{ 4, 2, 5 }, { 2, 0, 1 }, { 5, 2, 1 } },
			{ { 1, 2, 3 }, { 2, 1, 0 }, { 3, 0, 1 }, { 0, 3, 2 } } };

	final static double isqrt2 = 1.0 / sqrt(2.0);
	final static double isqrt3 = 1.0 / sqrt(3.0);
	final static double sqrt2o3 = sqrt(2.0 / 3.0);
	final static double isqrt6 = 1.0 / sqrt(6.0);
	final static double sqrt5 = sqrt(5.0);
	final static double sqrt5ps5 = sqrt(5.0 + sqrt(5.0));

	final static String[] Cnames = { "triakis tetrahedron",
			"rhombic dodecahedron", "triakis octahedron",
			"tetrakis hexahedron", "pentakis dodecahedron",
			"trapezoidal hexecontahedron", "pentagonal hexecontahedron",
			"trapezoidal icositetrahedron" };

	final static double[][][] Cvertices = {
			{ { 0., 0., -2.5 * isqrt6 }, { 0., 0., 0.5 * sqrt(1.5) },
					{ -5.0 / 3.0 * isqrt3, 0, 5.0 / 6.0 * isqrt6 },
					{ -0.5 * isqrt3, -0.5, -.5 * isqrt6 },
					{ -0.5 * isqrt3, 0.5, -.5 * isqrt6 },
					{ 5.0 / 6.0 * isqrt3, -5.0 / 6.0, 5.0 / 6.0 * isqrt6 },
					{ 5.0 / 6.0 * isqrt3, 5.0 / 6.0, 5.0 / 6.0 * isqrt6 },
					{ isqrt3, 0, -0.5 * isqrt6 } },
			{ { -sqrt2o3, -sqrt2o3, 0 }, { -sqrt2o3, 0, -isqrt3 },
					{ -sqrt2o3, 0, isqrt3 }, { -sqrt2o3, sqrt2o3, 0 },
					{ 0, -sqrt2o3, -isqrt3 }, { 0, -sqrt2o3, isqrt3 },
					{ 0, 0, -2.0 * isqrt3 }, { 0, 0, 2.0 * isqrt3 },
					{ 0, sqrt2o3, -isqrt3 }, { 0, sqrt2o3, isqrt3 },
					{ sqrt2o3, -sqrt2o3, 0 }, { sqrt2o3, 0, -isqrt3 },
					{ sqrt2o3, 0, isqrt3 }, { sqrt2o3, sqrt2o3, 0 } },
			{
					{ -3.5681437371677198, 1.3119012448065624,
							-1.3645204477430348 },
					{ -3.5317797722390081, 1.8217280529676563,
							-1.6507022749839708 },
					{ -3.5123215671908633, .82238847793750134,
							-1.6813909053726845 },
					{ -3.3679562143071613, 1.298897999262251,
							-.81415545811482506 },
					{ -3.3205057190517802, 1.3330125126238087,
							-1.8949688211575743 },
					{ -3.2009095448517915, 1.7277659252866438,
							-1.1765274531113111 },
					{ -3.1847898399840669, .8998859145014984,
							-1.2019507469443627 },
					{ -2.9532715267314125, 1.7488771931017483,
							-1.7069758265276009 },
					{ -2.9371518218729634, .92099718231481367,
							-1.7323991203652143 },
					{ -2.81755564766402, 1.3157505949807837,
							-1.0139577523144507 },
					{ -2.7701051524077265, 1.3498651083376725,
							-2.0947711153604262 },
					{ -2.6257397995280049, 1.8263746296644502,
							-1.2275356681028873 },
					{ -2.6062815944770034, .82703505463518063,
							-1.258224298492413 },
					{ -2.5699176295498668, 1.336861862796056,
							-1.5444061257335274 } },
			{
					{ 2.1348614059626215, -3.5055063523652592,
							-1.4945951758429601 },
					{ 2.1971258479418365, -3.5038430901685425,
							-2.2420042825755391 },
					{ 2.3699394365120042, -2.7808563801256379,
							-2.1423765720580416 },
					{ 2.4788481351989571, -4.1908576815798279,
							-2.1364414858379189 },
					{ 2.6209396147580064, -2.9358714153021793,
							-1.4528337892035579 },
					{ 2.702621138771078, -3.9933723913955511,
							-1.448382474535984 },
					{ 2.713926165750304, -3.4662077093438011,
							-2.7842228820530743 },
					{ 3.04393315762061, -3.4335621150914584,
							-1.0842141613423843 },
					{ 3.0552381845985396, -2.906397433034477,
							-2.4200545688560664 },
					{ 3.1369197086139189, -3.9638984091249418,
							-2.4156032541981603 },
					{ 3.2790111881713468, -2.7089121428510201,
							-1.731995557556517 },
					{ 3.3879198868560526, -4.1189134443059676,
							-1.7260604713375123 },
					{ 3.5607334754296779, -3.39592673425867,
							-1.6264327608240011 },
					{ 3.6229979174087295, -3.3942634720663633,
							-2.3738418675512585 }

			},
			{
					{ -3.2785843256255449, -6.4545692609536459,
							-8.1337217090404257 },
					{ -3.2620440177723942, -7.4533109316430336,
							-8.1810661220354788 },
					{ -3.2281976597931861, -6.987881512238052,
							-7.4266777791864186 },
					{ -3.0199154664199225, -6.917197187681737,
							-8.8450146971291659 },
					{ -2.9064578504930369, -6.1810458324224635,
							-7.2467567601525366 },
					{ -2.8796950702028385, -7.797043801579814,
							-7.3233616295583442 },
					{ -2.7044899126782688, -5.7886242555540461,
							-8.0162281048538766 },
					{ -2.6716567509135849, -6.1013618380196667,
							-8.8456791764778189 },
					{ -2.6660775619930205, -8.1080499663603225,
							-8.1261783071820946 },
					{ -2.6599307328935894, -7.0107407275626138,
							-6.7459266879076903 },
					{ -2.6448939706210107, -7.7173598071827589,
							-8.9222840458842823 },
					{ -2.2800145731772091, -6.8818093162640287,
							-9.3330375028959276 },
					{ -2.1557082951190106, -6.2819806034018792,
							-6.7851734314635213 },
					{ -2.1319681568062964, -7.7154645270534112,
							-6.8531263935736331 },
					{ -2.0695434660370866, -5.6587916339449222,
							-7.4105397423478389 },
					{ -2.0262403778910453, -8.2735312737922568,
							-7.5344890247536105 },
					{ -1.9244284058978087, -5.6095442170440263,
							-8.3987281410124499 },
					{ -1.8811253177539913, -8.2242838568937058,
							-8.5226774234146254 },
					{ -1.8187006269836722, -6.1676109637845208,
							-9.0800907721914821 },
					{ -1.7949604886731628, -7.6010948874375813,
							-9.1480437342993282 },
					{ -1.670654210610164, -7.0012661745698229,
							-6.6001796628678097 },
					{ -1.3057748131689595, -6.1657156836576413,
							-7.0109331198792756 },
					{ -1.2907380508948615, -6.8723347632719306,
							-9.1872904778557476 },
					{ -1.2845912217991669, -5.775025524479779,
							-7.8070388585795545 },
					{ -1.2790120328814705, -7.7817136528166251,
							-7.087537989285587 },
					{ -1.2461788711123481, -8.0944512352801381,
							-7.9169890609109771 },
					{ -1.0709737135881332, -6.0860316892563038,
							-8.609855536207226 },
					{ -1.0442109332969358, -7.702029658412517,
							-8.6864604056109258 },
					{ -.93075331736769704, -6.9658783031525313,
							-7.0882024686330954 },
					{ -.72247112399424575, -6.8951939785901027,
							-8.5065393865753889 },
					{ -.68862476601611317, -6.429764559197061,
							-7.7521510437303055 },
					{ -.67208445816413691, -7.428506229884794,
							-7.7994954567199398 } },
			{
					{ -1.9726967727818025, -5.0369269367796901,
							-14.369339284462879 },
					{ -1.7957514079696337, -6.0195003809368701,
							-14.31242035336472 },
					{ -1.7248418015320377, -5.3235043814518455,
							-13.443898156438986 },
					{ -1.6788293535467119, -5.4195680368842999,
							-15.245254650478876 },
					{ -1.6750197163317154, -5.9262791069794507,
							-13.680954587112426 },
					{ -1.6427766861042584, -5.993595311213412,
							-14.943247606309247 },
					{ -1.564095200200192, -4.2934228536931253,
							-13.839956215873875 },
					{ -1.5356579434402104, -4.3527934578317632,
							-14.953255755047505 },
					{ -1.512687598898259, -4.7167375084969748,
							-13.349877321423682 },
					{ -1.4605172800928907, -4.8256574149373336,
							-15.392310330250541 },
					{ -1.3801178026347434, -4.0365158940593823,
							-14.407553337528226 },
					{ -1.2806807021424389, -6.3443679729533516,
							-13.378111718179179 },
					{ -1.2346682541512806, -6.4404316283849776,
							-15.179468212220443 },
					{ -1.1974775363207089, -6.8186973237298509,
							-14.254518530225985 },
					{ -1.0737150298037129, -5.6039365352844887,
							-12.738638109201146 },
					{ -1.0490244943645675, -4.6182904457074927,
							-12.905647580691729 },
					{ -.99340692797547199, -5.7716018119483463,
							-15.88264646070188 },
					{ -.9745747896214646, -4.7737247052772149,
							-15.820303613903136 },
					{ -.85984063627422598, -3.6475795220838245,
							-14.415005179298758 },
					{ -.79315498588701515, -3.8060775680360809,
							-13.429900416614711 },
					{ -.7435218493912463, -3.909700407748758,
							-15.373004438755986 },
					{ -.697840148856203, -6.5895897135199104,
							-13.229187077417518 },
					{ -.64566983003894025, -6.6985096199600064,
							-15.27162008624638 },
					{ -.43518126538162192, -4.6325102963683674,
							-12.693492808637216 },
					{ -.40126634551074157, -6.9660784341156479,
							-13.667725084510657 },
					{ -.37282908874377967, -7.0254490382516623,
							-14.781024623685248 },
					{ -.35076791634523722, -4.8087464070384192,
							-15.998218836661106 },
					{ -.33035673907430019, -6.2700824346343494,
							-12.799202887583264 },
					{ -.25590703432060766, -6.4255166942017711,
							-15.713858920801442 },
					{ -.22067882914309578, -3.5318886043266864,
							-14.404848551779111 },
					{ -.18718532896418089, -5.2033078555769329,
							-12.507203992157633 },
					{ -.0951604329886603, -5.3954351664367719,
							-16.109916980235518 },
					{ -.061666932807901577, -7.0668544176914617,
							-14.212272420612742 },
					{ -.026438727627253661, -4.1732263278160675,
							-12.903262051594391 },
					{ .048010977119230497, -4.3286605873817995,
							-15.817918084803584 },
					{ .068422154392362359, -5.7899966149812953,
							-12.618902135731829 },
					{ .090483326797497099, -3.5732939837650108,
							-13.836096348710861 },
					{ .11892058355684713, -3.6326645879046346,
							-14.949395887880816 },
					{ .15283550343376756, -5.9662327256482661,
							-15.923628163755586 },
					{ .36332406809324277, -3.9002334020592009,
							-13.345500886152742 },
					{ .41549438689755119, -4.0091533084994161,
							-15.387933894973743 },
					{ .46117608743229241, -6.6890426142756526,
							-13.244116533636687 },
					{ .51080922393829887, -6.7926654539791917,
							-15.187220555781089 },
					{ .57749487431822722, -6.9511634999365358,
							-14.202115793094801 },
					{ .69222902766710902, -5.8250183167450572,
							-12.796817358490928 },
					{ .71106116602487852, -4.8271412100719693,
							-12.734474511694119 },
					{ .76667873242003144, -5.9804525763081312,
							-15.711473391699198 },
					{ .79136926785051688, -4.9948064867296432,
							-15.878482863190614 },
					{ .91513177436919759, -3.7800456982917064,
							-14.36260244217992 },
					{ .95232249220387868, -4.1583113936385775,
							-13.437652760179818 },
					{ .99833494018651856, -4.2543750490672272,
							-15.239009254215175 },
					{ 1.0977720406815137, -6.5622271279626564,
							-14.209567634864187 },
					{ 1.1781715181379887, -5.7730856070854005,
							-13.224810642142053 },
					{ 1.2303418369502508, -5.8820055135242768,
							-15.26724365096665 },
					{ 1.2533121814828569, -6.2459495641973408,
							-13.663865217344307 },
					{ 1.2817494382467502, -6.3053201683330461,
							-14.777164756515628 },
					{ 1.3604309241515627, -4.6051477108170199,
							-13.673873366083537 },
					{ 1.3926739543746375, -4.6724639150437184,
							-14.936166385286624 },
					{ 1.3964835915961966, -5.1791749851439294,
							-13.371866321919941 },
					{ 1.442496039576674, -5.2752386405696514,
							-15.173222815956747 },
					{ 1.5134056460155063, -4.5792426410939868,
							-14.304700619034634 },
					{ 1.6903510108274181, -5.5618160852468259,
							-14.247781687932507 } },
			{
					{ 3.9249809704618223, -5.1321568288036608,
							-8.9572423932117915 },
					{ 4.1972581645964019, -3.9291920628268127,
							-7.7159829897662107 },
					{ 4.2014724308621173, -5.8435266150703761,
							-7.3826029091241013 },
					{ 4.3645365886832089, -4.2448400125910571,
							-6.7819678396578481 },
					{ 4.3667053679722296, -5.2300101289861292,
							-6.6104011234465808 },
					{ 4.5775871563036635, -3.0460298283326412,
							-7.9905268398644983 },
					{ 4.5857761131100294, -6.7658714241630001,
							-7.3427189163300245 },
					{ 4.5919271290765588, -3.646484504697723,
							-9.5975115336349459 },
					{ 4.5987459551719713, -6.7439428761346539,
							-9.0580912319722293 },
					{ 4.7806948467695733, -2.9005406098315654,
							-8.9588140665575546 },
					{ 4.7902241829382508, -7.2292508223667445,
							-8.2049720810617894 },
					{ 4.8400602297562023, -5.3860961772025225,
							-10.426980043905388 },
					{ 4.9026344367510845, -3.659381539411444,
							-6.1755941247829246 },
					{ 5.1134655520946453, -7.0222656062494586,
							-6.5329004926250431 },
					{ 5.131438084033852, -3.6954964650507683,
							-10.438062398979002 },
					{ 5.138667917029608, -6.9796551205190048,
							-9.8661283678635239 },
					{ 5.259134319452916, -4.5907492994683459,
							-10.864930099735829 },
					{ 5.2628549937871972, -6.2808692218675103,
							-10.570596846794922 },
					{ 5.3118765691198215, -5.8314448899843754,
							-5.2661869909423238 },
					{ 5.412310879032899, -4.0923757596106082,
							-5.4321252758045561 },
					{ 5.4979854437137347, -2.1408177550342931,
							-6.8092385176174334 },
					{ 5.4982423124008269, -2.2460146463877063,
							-9.1969766115357567 },
					{ 5.8156045808081914, -7.727463500128985,
							-6.6313723912970901 },
					{ 5.8393742230123924, -7.6872753668633497,
							-9.7751104591757154 },
					{ 5.971890417656054, -1.7741868782920329,
							-8.4533126890711061 },
					{ 6.051019018679059, -8.442652916267102,
							-8.2109508625357603 },
					{ 6.0771793389254435, -4.7353899348288606,
							-11.421600049279464 },
					{ 6.233242096343552, -3.6329309576425494,
							-5.0930347120131715 },
					{ 6.3521495032755682, -2.4710927720553004,
							-10.707660679114808 },
					{ 6.4978279653623409, -2.766610793939259,
							-5.5166898687809721 },
					{ 6.5912151665165924, -7.71204546834079,
							-6.0003490132635219 },
					{ 6.6205942384076107, -6.992306038365396,
							-5.3067266209812397 },
					{ 6.6244333346478957, -7.6558823946189097,
							-10.393735282970455 },
					{ 6.6939430495817873, -6.365841093200346,
							-11.573966550816774 },
					{ 6.7210232937447326, -3.9765550978056577,
							-11.519756312402868 },
					{ 6.8052908078177051, -5.1815345298287209,
							-4.6264101230027388 },
					{ 6.9066003026361599, -1.4578088329387182,
							-8.6152458954133206 },
					{ 6.9501085379495625, -4.193442531328236,
							-4.6783911535281391 },
					{ 7.1586645042284286, -1.6014964179563604,
							-6.9243973583135149 },
					{ 7.3145250024218244, -1.6312442492034776,
							-9.5116373253691575 },
					{ 7.4572671371980722, -8.1062180317830033,
							-6.3078908385765113 },
					{ 7.4642389025321388, -2.5100514142869452,
							-5.5016172048747242 },
					{ 7.4858128973513504, -8.0579547552899315,
							-10.083311273391602 },
					{ 7.4984745581962891, -8.4934004131403342,
							-7.2289726764293948 },
					{ 7.5131650049581132, -8.4685627808258492,
							-9.1719096540767269 },
					{ 7.5143551177230027, -6.7076554521029587,
							-4.9600776135798437 },
					{ 7.5173474490187266, -1.3689374908254377,
							-7.8284232929608373 },
					{ 7.6094051394531353, -5.7757817752935288,
							-4.609967711045041 },
					{ 7.6807316309821924, -4.1926239408784226,
							-11.699406423648231 },
					{ 7.8043238731383028, -1.9104509609367144,
							-6.2260628613011032 },
					{ 7.9420378029618716, -5.1552443793020263,
							-11.770687389161988 },
					{ 8.0702452097084496, -2.700777067060782,
							-10.947194128886627 },
					{ 8.2802593728089295, -6.960207983298215,
							-11.135432027744913 },
					{ 8.3100068430802196, -1.7059487383159505,
							-9.5702474288572426 },
					{ 8.3379473003136884, -7.6999412409171364,
							-10.465009168090788 },
					{ 8.3750789750357078, -3.5360728748280628,
							-11.404749905904386 },
					{ 8.383536467801999, -8.5105968832682926,
							-7.6941282391989888 },
					{ 8.3910965826891972, -8.4978147428186788,
							-8.6940179638935768 },
					{ 8.512624314045657, -5.3481548146584167,
							-4.646441060029984 },
					{ 8.5961937208705521, -3.6025646230038716,
							-4.7354075838984988 },
					{ 8.6989216039286124, -2.2563602478616208,
							-10.309025121385275 },
					{ 8.7719612647540766, -1.9692829000793016,
							-6.4714537357127747 },
					{ 8.8828363921666902, -5.4065899918962801,
							-11.543259603822729 },
					{ 8.9379872671470963, -7.4973129441762175,
							-5.6017134555119462 },
					{ 9.0568946741676741, -6.3354747585629935,
							-11.216339422748645 },
					{ 9.1770763013561674, -8.1396333743689966,
							-7.2117584561198241 },
					{ 9.2391177517645631, -1.5257527999517012,
							-8.0984232720727758 },
					{ 9.2694465942067692, -5.8767115850477593,
							-5.0309508475854802 },
					{ 9.3445047185482308, -2.6243707709111126,
							-5.9784487914990944 },
					{ 9.5966923021478368, -2.672503772934637,
							-10.164690995331117 },
					{ 9.7921513267740992, -7.8275879612251587,
							-9.5001356169862423 },
					{ 9.8470671641398855, -6.4859900885408089,
							-10.622224474589551 },
					{ 9.933064509518758, -7.776976533364706,
							-7.7567005124835747 },
					{ 9.9782602013134358, -4.1369608261790218,
							-11.043187143835545 },
					{ 9.9924425361885398, -4.3784151359307354,
							-5.4499208676320698 },
					{ 10.03100245101275, -5.3776564167428397,
							-5.4444440348909775 },
					{ 10.05451110584565, -2.514578553098346,
							-9.2897843900464208 },
					{ 10.151468853465522, -2.9887505957036208,
							-6.4432457667939321 },
					{ 10.297064799500511, -6.7617226121526882,
							-6.4225661400931462 },
					{ 10.340014639684404, -2.6773280154715287,
							-7.3746245635378895 },
					{ 10.418261061120356, -5.6990640448735167,
							-10.388804394269476 },
					{ 10.484915781261463, -3.8914308974450723,
							-6.1712505109611842 },
					{ 10.50944192369133, -7.0678651064145903,
							-7.3505600680494062 },
					{ 10.55984352831428, -5.8331078505370382,
							-6.1606081965272663 },
					{ 10.704360657381281, -3.2025342920568818,
							-8.9666552183383141 },
					{ 10.832903815465496, -6.5336005176268127,
							-8.948397673373236 },
					{ 10.851288763183538, -3.286289718508463,
							-7.9810603926860031 },
					{ 10.859448276543761, -4.0093058333869444,
							-9.5368021384560697 },
					{ 10.925600181848425, -5.7235657036682488,
							-9.5274062950328846 },
					{ 10.972524404615087, -6.427989023782486,
							-7.9638407662064997 },
					{ 11.152647465656077, -4.8539688550155594,
							-9.0889420984033713 },
					{ 11.365155800036141, -4.8362488874415336,
							-7.3521317414182036 }

			},
			{
					{ 4.013036790279519, -4.1600220317849136,
							-4.9068202312454092 },
					{ 4.1901455804611516, -4.691610473084827,
							-5.4400042093243232 },
					{ 4.2296533455996171, -4.9180176625861378,
							-4.2915805286517538 },
					{ 4.3951905792772104, -5.3832929733875388,
							-5.1611300151283652 },
					{ 4.4121317999132075, -3.7641754465074346,
							-4.3755316061414312 },
					{ 4.541390220395073, -3.5775261261489755,
							-5.5245104228480806 },
					{ 4.6156218373957512, -4.4354223178470648,
							-6.0329431040383192 },
					{ 4.6821950570844605, -4.1842185166349135,
							-3.7848806048595379 },
					{ 4.9026263151907372, -3.2363478611026104,
							-4.6566936937778333 },
					{ 5.0032924362924394, -5.6564754815069359,
							-4.7689280292625439 },
					{ 5.0643488460837798, -5.4074894582424923,
							-4.0391903887348393 },
					{ 5.0818372917061654, -5.3074924822212444,
							-5.8841587682514089 },
					{ 5.2252786557480387, -4.7290404549263764,
							-3.7044554260802532 },
					{ 5.3442815526503273, -4.190197150477445,
							-6.1175515292153352 },
					{ 5.4877229166803247, -3.6117451231843329,
							-3.9378481870504863 },
					{ 5.5052113623084514, -3.5117481471705492,
							-5.7828165665629496 },
					{ 5.5662677721013568, -3.262762123909188,
							-5.053078926048755 },
					{ 5.6669338931948022, -5.6828897443106442,
							-5.1653132615237148 },
					{ 5.8873651513157604, -4.7350190887704945,
							-6.0371263504355892 },
					{ 5.9539383709989462, -4.4838152875498279,
							-3.7890638512594041 },
					{ 6.0281699879963042, -5.3417114792634769,
							-4.2974965324460772 },
					{ 6.1574284084804255, -5.1550621589046913,
							-5.4464753491487841 },
					{ 6.1743696291160879, -3.5359446320254534,
							-4.6608769401757044 },
					{ 6.339906862795171, -4.0012199428294472,
							-5.5304264266420904 },
					{ 6.3794146279349101, -4.2276271323253842,
							-4.3820027459701125 },
					{ 6.5565234181164984, -4.7592155736276434,
							-4.9151867240452441 } }

	};

	static final int[][][] Cfaces = {
			{ { 5, 3, 0 }, { 0, 4, 6 }, { 5, 2, 3 }, { 6, 4, 2 }, { 5, 1, 2 },
					{ 6, 2, 1 }, { 6, 1, 5 }, { 6, 5, 7 }, { 3, 2, 0 },
					{ 2, 4, 0 }, { 5, 0, 7 }, { 0, 6, 7 }

			},
			{ { 1, 0, 2, 3 }, { 0, 1, 6, 4 }, { 5, 7, 2, 0 }, { 1, 3, 8, 6 },
					{ 7, 9, 3, 2 }, { 10, 5, 0, 4 }, { 8, 3, 9, 13 },
					{ 4, 6, 11, 10 }, { 10, 12, 7, 5 }, { 6, 8, 13, 11 },
					{ 12, 13, 9, 7 }, { 13, 12, 10, 11 }

			},
			{ { 5, 3, 11 }, { 5, 11, 1 }, { 5, 1, 3 }, { 0, 1, 2 },
					{ 0, 2, 3 }, { 0, 3, 1 }, { 4, 2, 1 }, { 4, 1, 10 },
					{ 4, 10, 2 }, { 7, 11, 10 }, { 7, 10, 1 }, { 7, 1, 11 },
					{ 6, 3, 2 }, { 6, 2, 12 }, { 6, 12, 3 }, { 8, 10, 12 },
					{ 8, 12, 2 }, { 8, 2, 10 }, { 13, 12, 10 }, { 13, 10, 11 },
					{ 13, 11, 12 }, { 9, 11, 3 }, { 9, 3, 12 }, { 9, 12, 11 } },
			{ { 5, 0, 3 }, { 5, 3, 11 }, { 5, 11, 7 }, { 5, 7, 0 },
					{ 9, 3, 6 }, { 9, 6, 13 }, { 9, 13, 11 }, { 9, 11, 3 },
					{ 12, 7, 11 }, { 12, 11, 13 }, { 12, 13, 10 },
					{ 12, 10, 7 }, { 4, 2, 0 }, { 4, 0, 7 }, { 4, 7, 10 },
					{ 4, 10, 2 }, { 1, 2, 6 }, { 1, 6, 3 }, { 1, 3, 0 },
					{ 1, 0, 2 }, { 8, 10, 13 }, { 8, 13, 6 }, { 8, 6, 2 },
					{ 8, 2, 10 }

			},
			{ { 19, 27, 17 }, { 19, 17, 10 }, { 19, 10, 11 }, { 19, 11, 22 },
					{ 19, 22, 27 }, { 25, 17, 27 }, { 25, 27, 31 },
					{ 25, 31, 24 }, { 25, 24, 15 }, { 25, 15, 17 },
					{ 8, 10, 17 }, { 8, 17, 15 }, { 8, 15, 5 }, { 8, 5, 1 },
					{ 8, 1, 10 }, { 3, 11, 10 }, { 3, 10, 1 }, { 3, 1, 0 },
					{ 3, 0, 7 }, { 3, 7, 11 }, { 18, 22, 11 }, { 18, 11, 7 },
					{ 18, 7, 16 }, { 18, 16, 26 }, { 18, 26, 22 },
					{ 29, 27, 22 }, { 29, 22, 26 }, { 29, 26, 30 },
					{ 29, 30, 31 }, { 29, 31, 27 }, { 23, 14, 21 },
					{ 23, 21, 30 }, { 23, 30, 26 }, { 23, 26, 16 },
					{ 23, 16, 14 }, { 6, 4, 14 }, { 6, 14, 16 }, { 6, 16, 7 },
					{ 6, 7, 0 }, { 6, 0, 4 }, { 2, 9, 4 }, { 2, 4, 0 },
					{ 2, 0, 1 }, { 2, 1, 5 }, { 2, 5, 9 }, { 13, 20, 9 },
					{ 13, 9, 5 }, { 13, 5, 15 }, { 13, 15, 24 },
					{ 13, 24, 20 }, { 28, 21, 20 }, { 28, 20, 24 },
					{ 28, 24, 31 }, { 28, 31, 30 }, { 28, 30, 21 },
					{ 12, 21, 14 }, { 12, 14, 4 }, { 12, 4, 9 }, { 12, 9, 20 },
					{ 12, 20, 21 }

			},
			{ { 16, 31, 38, 28 }, { 16, 28, 22, 12 }, { 16, 12, 5, 3 },
					{ 16, 3, 9, 17 }, { 16, 17, 26, 31 }, { 47, 46, 38, 31 },
					{ 47, 31, 26, 34 }, { 47, 34, 40, 50 }, { 47, 50, 57, 59 },
					{ 47, 59, 53, 46 }, { 42, 25, 22, 28 }, { 42, 28, 38, 46 },
					{ 42, 46, 53, 55 }, { 42, 55, 51, 43 }, { 42, 43, 32, 25 },
					{ 13, 1, 5, 12 }, { 13, 12, 22, 25 }, { 13, 25, 32, 24 },
					{ 13, 24, 21, 11 }, { 13, 11, 4, 1 }, { 0, 7, 9, 3 },
					{ 0, 3, 5, 1 }, { 0, 1, 4, 2 }, { 0, 2, 8, 6 },
					{ 0, 6, 10, 7 }, { 20, 34, 26, 17 }, { 20, 17, 9, 7 },
					{ 20, 7, 10, 18 }, { 20, 18, 29, 37 }, { 20, 37, 40, 34 },
					{ 19, 15, 23, 33 }, { 19, 33, 39, 36 }, { 19, 36, 29, 18 },
					{ 19, 18, 10, 6 }, { 19, 6, 8, 15 }, { 14, 27, 35, 30 },
					{ 14, 30, 23, 15 }, { 14, 15, 8, 2 }, { 14, 2, 4, 11 },
					{ 14, 11, 21, 27 }, { 41, 54, 52, 44 }, { 41, 44, 35, 27 },
					{ 41, 27, 21, 24 }, { 41, 24, 32, 43 }, { 41, 43, 51, 54 },
					{ 61, 60, 56, 58 }, { 61, 58, 52, 54 }, { 61, 54, 51, 55 },
					{ 61, 55, 53, 59 }, { 61, 59, 57, 60 }, { 48, 36, 39, 49 },
					{ 48, 49, 56, 60 }, { 48, 60, 57, 50 }, { 48, 50, 40, 37 },
					{ 48, 37, 29, 36 }, { 45, 33, 23, 30 }, { 45, 30, 35, 44 },
					{ 45, 44, 52, 58 }, { 45, 58, 56, 49 }, { 45, 49, 39, 33 }

			},
			{ { 63, 78, 83, 75, 67 }, { 63, 67, 58, 47, 45 },
					{ 63, 45, 31, 30, 40 }, { 63, 40, 43, 56, 65 },
					{ 63, 65, 72, 82, 78 }, { 59, 74, 81, 77, 68 },
					{ 59, 68, 61, 49, 41 }, { 59, 41, 29, 27, 37 },
					{ 59, 37, 35, 47, 58 }, { 59, 58, 67, 75, 74 },
					{ 18, 35, 37, 27, 19 }, { 18, 19, 12, 3, 4 },
					{ 18, 4, 2, 6, 13 }, { 18, 13, 22, 30, 31 },
					{ 18, 31, 45, 47, 35 }, { 25, 22, 13, 6, 10 },
					{ 25, 10, 8, 15, 23 }, { 25, 23, 32, 42, 44 },
					{ 25, 44, 57, 56, 43 }, { 25, 43, 40, 30, 22 },
					{ 70, 57, 44, 42, 54 }, { 70, 54, 52, 64, 71 },
					{ 70, 71, 80, 88, 85 }, { 70, 85, 89, 82, 72 },
					{ 70, 72, 65, 56, 57 }, { 91, 89, 85, 88, 90 },
					{ 91, 90, 87, 84, 86 }, { 91, 86, 79, 77, 81 },
					{ 91, 81, 74, 75, 83 }, { 91, 83, 78, 82, 89 },
					{ 28, 39, 53, 60, 51 }, { 28, 51, 55, 48, 34 },
					{ 28, 34, 26, 16, 14 }, { 28, 14, 7, 9, 21 },
					{ 28, 21, 24, 36, 39 }, { 73, 69, 76, 84, 87 },
					{ 73, 87, 90, 88, 80 }, { 73, 80, 71, 64, 62 },
					{ 73, 62, 50, 48, 55 }, { 73, 55, 51, 60, 69 },
					{ 33, 50, 62, 64, 52 }, { 33, 52, 54, 42, 32 },
					{ 33, 32, 23, 15, 17 }, { 33, 17, 11, 16, 26 },
					{ 33, 26, 34, 48, 50 }, { 0, 11, 17, 15, 8 },
					{ 0, 8, 10, 6, 2 }, { 0, 2, 4, 3, 1 }, { 0, 1, 5, 9, 7 },
					{ 0, 7, 14, 16, 11 }, { 20, 5, 1, 3, 12 },
					{ 20, 12, 19, 27, 29 }, { 20, 29, 41, 49, 38 },
					{ 20, 38, 46, 36, 24 }, { 20, 24, 21, 9, 5 },
					{ 66, 46, 38, 49, 61 }, { 66, 61, 68, 77, 79 },
					{ 66, 79, 86, 84, 76 }, { 66, 76, 69, 60, 53 },
					{ 66, 53, 39, 36, 46 }

			},
			{ { 5, 6, 1, 0 }, { 11, 3, 1, 6 }, { 2, 0, 1, 3 },
					{ 23, 18, 13, 15 }, { 11, 6, 13, 18 }, { 5, 15, 13, 6 },
					{ 20, 17, 21, 25 }, { 11, 18, 21, 17 }, { 23, 25, 21, 18 },
					{ 2, 3, 9, 10 }, { 11, 17, 9, 3 }, { 20, 10, 9, 17 },
					{ 20, 19, 12, 10 }, { 14, 7, 12, 19 }, { 2, 10, 12, 7 },
					{ 23, 22, 24, 25 }, { 14, 19, 24, 22 }, { 20, 25, 24, 19 },
					{ 5, 8, 16, 15 }, { 14, 22, 16, 8 }, { 23, 15, 16, 22 },
					{ 2, 7, 4, 0 }, { 14, 8, 4, 7 }, { 5, 0, 4, 8 } }

	};

	private static double sqrt(final double x) {
		return Math.sqrt(x);
	}

	final public static String[] Onames = { "dodecadodecahedron",
			"echidnahedron", "tetrahemihexahedron",
			"small ditrigonal icosidodecahedron", "octahemioctahedron" };

	final public static double[][][] Overtices = {
			{
					{ .45520409720613175, 2.9852283637161371,
							2.6144275734495506 },
					{ .58179973673199928, 2.2572778195070664,
							1.1749500508768096 },
					{ .70384217804085175, 2.1302163802643068,
							2.1593082342515283 },
					{ .77926855484144585, 2.0516880921526706,
							2.7676750486808425 },
					{ .8575089628990247, 1.6017899137072284, 1.8780290136906538 },
					{ .90131099615631922, 1.9246266529093337,
							3.7520332320537766 },
					{ .97189527864441998, 3.8200764392512153,
							1.3283121421808006 },
					{ .97955140420890048, 1.4747284744594158,
							2.8623871970630421 },
					{ 1.0279066356797787, 1.1966761087008048,
							2.3125557094819529 },
					{ 1.0939377199533824, 3.6930150000148285,
							2.3126703255567359 },
					{ 1.1061470437340354, .74677793025596729,
							1.4229096744962048 },
					{ 1.1693640967494892, 3.6144867118997792,
							2.9210371399850335 },
					{ 1.2205333594812287, 2.9650644558017301,
							.87319280298369513 },
					{ 1.2914065380596199, 3.4874252726583223,
							3.9053953233586283 },
					{ 1.3036158618467372, .54118820289558111,
							3.0156346722940855 },
					{ 1.3425758007893254, 2.8380030165593695,
							1.8575509863569636 },
					{ 1.3742001443322159, 2.4366379892411308,
							.59191358242875417 },
					{ 1.4886968085650687, 4.1304511980221102,
							2.1261740900099247 },
					{ 1.4934285543883417, 2.6809464403356961,
							3.0742846152166112 },
					{ 1.6107392498754231, 4.0033897587706312,
							3.1105322733773448 },
					{ 1.6152924480962415, 3.4025006538134397,
							.68669656743984357 },
					{ 1.6154709957049333, 2.5538850010939468,
							4.0586427985878945 },
					{ 1.6228382251729344, 1.5816260057930731,
							.13679424323185869 },
					{ 1.6499093704963192, 1.7811500834405759,
							1.2949925452399425 },
					{ 1.8080977194941701, 4.3222733481925575,
							2.6192798920968782 },
					{ 1.815753845068957, 1.9769253834013426, 4.1533549469682934 },
					{ 1.8639305289320914, 2.5474886703691335,
							.23157722824608955 },
					{ 1.8939942531204276, 1.5270272049502334,
							3.2637089119796471 },
					{ 1.8985474513297968, .92613809998854291,
							.83987320604279201 },
					{ 1.9907047160631734, .9709224734326156, 2.1640459368196959 },
					{ 2.012933767086773, 3.1444246255294558, .29015633453361755 },
					{ 2.0568461488202782, 2.9427880479749864,
							4.2481379319812301 },
					{ 2.0689451241129468, .52102429498614984,
							1.2743999018270516 },
					{ 2.1274304313135176, 4.8382378343155974, 1.824416842118707 },
					{ 2.1320939780177756, 3.7128754125827315,
							1.4845585152653016 },
					{ 2.1398183027068947, 1.0433851118376966,
							4.3066024222019305 },
					{ 2.2180587107578335, .59348693338622656,
							3.4169563872113253 },
					{ 2.254026070846694, 4.110287290107932, .38493931954816921 },
					{ 2.2664139422299668, .31543456762587712,
							2.8671248996305763 },
					{ 2.324899249413065, 4.6326481069468664, 3.4171418399219891 },
					{ 2.3446543502809833, -.13446361082333168,
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					{ 6.1407129897781325, -1.667210769324966,
							.93650500340248841 },
					{ 6.1559201666708567, -2.2689023589207871,
							.13792127404968941 },
					{ 6.2744388091501878, .21717142550979676,
							1.1584399888486142 },
					{ 6.3294588920053033, -1.9597691963854324,
							-1.7308630868059856 },
					{ 6.4114119487158653, -.76640133552081486,
							1.2760111706525124 },
					{ 6.4512248546852634, -2.3416503678227789,
							-.81470817564958762 },
					{ 6.511273181405472, -1.9759743218429815, .550090427754781 },
					{ 6.5306246360326429, 1.6909168322466329,
							-.57318100771147952 },
					{ 6.5458318129187841, 1.0892252426527436,
							-1.3717647370603347 },
					{ 6.5552303651089385, .71735938953950208,
							-1.8653166246636205 },
					{ 6.5704375419959242, .11566779994730272,
							-2.663900354017589 },
					{ 6.7276461023166965, 1.0730201171967393,
							.90918877749807379 },
					{ 6.7920647373607977, -1.4757863578090223,
							-2.4736661857574236 },
					{ 6.8646192418821502, .08944735616468876,
							1.0267599593044298 },
					{ 6.9138307000351786, -1.8576675292477805,
							-1.5575112746004959 },
					{ 6.949273297678081, -.51843404056282814,
							1.0994229457571464 },
					{ 6.9890862036437517, -2.0936830728605916,
							-.99129640054888553 },
					{ 7.0229507903335158, 1.0002721082882285,
							-.043440672200877901 },
					{ 7.0627636962970651, -.57497692400993581,
							-2.1341600185077798 },
					{ 7.0862464372406073, -1.5020068015951067,
							1.2169941275610437 },
					{ 7.110852166323505, -2.4755642443032284,
							-.075141489390550209 },
					{ 7.2054591245621166, .95531136617324854,
							-.63219805080141255 },
					{ 7.2300648536401395, -.018246076533788597,
							-1.9243336677534936 },
					{ 7.3272250872376555, .57343019473605032,
							.28395686035384921 },
					{ 7.3670379932011695, -1.0018188375603693,
							-1.8067624859516601 },
					{ 7.3815511252572915, -1.5747548105036022,
							.26436467786167347 },
					{ 7.5007638125774819, .88256335727005557,
							-1.584827500501068 },
					{ 7.5488522825991796, -1.0180239630240873,
							.47419102861264976 },
					{ 7.5640594594887381, -1.6197155526132525,
							-.32439270073964462 },
					{ 7.6225297752516591, .50068218583340824,
							-.66867258935298807 },
					{ 7.6377369521422468, -.10100940376338166,
							-1.4672563186958243 },
					{ 7.6977852788593567, .26466664221858676,
							-.10245771529335814 },
					{ 7.7223910079369182, -.70889080048998855,
							-1.3945933322437907 },
					{ 7.8195512415356802, -.11721452922034223,
							.81369719586252742 },
					{ 7.8347584184248569, -.71890611881523542,
							.01511346651326767 },
					{ 7.8441569706142394, -1.0907719719292259,
							-.47843842109030055 },
					{ 7.8593641475002861, -1.6924635615180231,
							-1.2770221504396647 },
					{ 8.2973642637807672, -.23492328024235003,
							-.72768963243513997 }

			},
			{
					{ -1.8124523700696942, 3.7178418226141683,
							-.68831620013553378 },
					{ -1.5331504343927934, 2.7602992293855104,
							-.75974876186145617 },
					{ -1.3879997967813838, 3.7742334241201059,
							.21537622558519083 },
					{ -1.2759995935655044, 3.4107899190515568,
							-1.474406237659885 },
					{ -1.1308489559560146, 4.424724113788677,
							-.49928125021377046 },
					{ -1.1086978611039091, 2.8166908308896541,
							.1439436638619199 },
					{ -.85154702027722935, 3.4671815205576127,
							-.57071381193861869 },
					{ -.59439617944975366, 4.1176722102251516,
							-1.2853712877383561 },
					{ -.57224508459965393, 2.50963892732693,
							-.64214637366434788 },
					{ -.42709444698891891, 3.5235731220635502,
							.33297861378210607 },
					{ -.31509424377152633, 3.1601296169942332,
							-1.3568038494646975 },
					{ -.16994360616160805, 4.1740638117297629,
							-.38167886201616724 },
					{ .10935832951571622, 3.2165212185008803,
							-.45311142374191835 }

			} };

	static public final int[][][] Ofaces = {
			{ { 14, 38, 40, 53, 76, 61, 72, 51, 35, 36 }, { 8, 29, 38, 14 },
					{ 47, 60, 53, 40 }, { 92, 75, 61, 76 }, { 79, 55, 51, 72 },
					{ 25, 27, 36, 35 }, { 10, 8, 14, 7, 5, 3, 0, 2, 1, 4 },
					{ 32, 29, 8, 10 }, { 36, 27, 7, 14 }, { 21, 18, 3, 5 },
					{ 9, 15, 2, 0 }, { 16, 23, 4, 1 },
					{ 70, 47, 40, 32, 10, 28, 22, 43, 59, 52 },
					{ 85, 60, 47, 70 }, { 38, 29, 32, 40 }, { 4, 23, 28, 10 },
					{ 26, 45, 43, 22 }, { 78, 68, 52, 59 },
					{ 103, 92, 76, 85, 70, 90, 96, 98, 109, 100 },
					{ 89, 75, 92, 103 }, { 53, 60, 85, 76 },
					{ 52, 68, 90, 70 }, { 88, 91, 98, 96 },
					{ 107, 94, 100, 109 },
					{ 63, 79, 72, 89, 103, 97, 108, 93, 87, 83 },
					{ 42, 55, 79, 63 }, { 61, 75, 89, 72 },
					{ 100, 94, 97, 103 }, { 105, 86, 93, 108 },
					{ 66, 64, 83, 87 },
					{ 5, 25, 35, 42, 63, 44, 50, 31, 13, 21 },
					{ 7, 27, 25, 5 }, { 51, 55, 42, 35 }, { 83, 64, 44, 63 },
					{ 57, 41, 31, 50 }, { 11, 18, 21, 13 },
					{ 33, 56, 69, 71, 95, 73, 74, 58, 37, 48 },
					{ 24, 49, 56, 33 }, { 77, 80, 71, 69 },
					{ 102, 82, 73, 95 }, { 67, 54, 58, 74 },
					{ 20, 34, 48, 37 },
					{ 39, 24, 33, 17, 6, 9, 0, 11, 13, 19 },
					{ 62, 49, 24, 39 }, { 48, 34, 17, 33 }, { 12, 15, 9, 6 },
					{ 3, 18, 11, 0 }, { 31, 41, 19, 13 },
					{ 99, 77, 69, 62, 39, 57, 50, 66, 87, 81 },
					{ 101, 80, 77, 99 }, { 56, 49, 62, 69 },
					{ 19, 41, 57, 39 }, { 44, 64, 66, 50 }, { 93, 86, 81, 87 },
					{ 104, 102, 95, 101, 99, 105, 108, 107, 109, 106 },
					{ 84, 82, 102, 104 }, { 71, 80, 101, 95 },
					{ 81, 86, 105, 99 }, { 97, 94, 107, 108 },
					{ 98, 91, 106, 109 },
					{ 46, 67, 74, 84, 104, 88, 96, 78, 59, 65 },
					{ 30, 54, 67, 46 }, { 73, 82, 84, 74 },
					{ 106, 91, 88, 104 }, { 90, 68, 78, 96 },
					{ 43, 45, 65, 59 },
					{ 6, 20, 37, 30, 46, 26, 22, 16, 1, 12 },
					{ 17, 34, 20, 6 }, { 58, 54, 30, 37 }, { 65, 45, 26, 46 },
					{ 28, 23, 16, 22 }, { 2, 15, 12, 1 }

			},
			{ { 65, 64, 44 }, { 65, 44, 48 }, { 65, 48, 64 }, { 77, 64, 48 },
					{ 77, 48, 59 }, { 77, 59, 64 }, { 85, 64, 59 },
					{ 85, 59, 63 }, { 85, 63, 64 }, { 81, 64, 63 },
					{ 81, 63, 52 }, { 81, 52, 64 }, { 68, 64, 52 },
					{ 68, 52, 44 }, { 68, 44, 64 }, { 31, 30, 48 },
					{ 31, 48, 44 }, { 31, 44, 30 }, { 16, 30, 44 },
					{ 16, 44, 33 }, { 16, 33, 30 }, { 7, 30, 33 },
					{ 7, 33, 29 }, { 7, 29, 30 }, { 11, 30, 29 },
					{ 11, 29, 40 }, { 11, 40, 30 }, { 25, 30, 40 },
					{ 25, 40, 48 }, { 25, 48, 30 }, { 74, 56, 59 },
					{ 74, 59, 48 }, { 74, 48, 56 }, { 54, 56, 48 },
					{ 54, 48, 40 }, { 54, 40, 56 }, { 50, 56, 40 },
					{ 50, 40, 46 }, { 50, 46, 56 }, { 70, 56, 46 },
					{ 70, 46, 57 }, { 70, 57, 56 }, { 79, 56, 57 },
					{ 79, 57, 59 }, { 79, 59, 56 }, { 90, 76, 63 },
					{ 90, 63, 59 }, { 90, 59, 76 }, { 88, 76, 59 },
					{ 88, 59, 57 }, { 88, 57, 76 }, { 87, 76, 57 },
					{ 87, 57, 58 }, { 87, 58, 76 }, { 89, 76, 58 },
					{ 89, 58, 62 }, { 89, 62, 76 }, { 91, 76, 62 },
					{ 91, 62, 63 }, { 91, 63, 76 }, { 83, 67, 52 },
					{ 83, 52, 63 }, { 83, 63, 67 }, { 86, 67, 63 },
					{ 86, 63, 62 }, { 86, 62, 67 }, { 82, 67, 62 },
					{ 82, 62, 51 }, { 82, 51, 67 }, { 71, 67, 51 },
					{ 71, 51, 45 }, { 71, 45, 67 }, { 72, 67, 45 },
					{ 72, 45, 52 }, { 72, 52, 67 }, { 38, 36, 44 },
					{ 38, 44, 52 }, { 38, 52, 36 }, { 42, 36, 52 },
					{ 42, 52, 45 }, { 42, 45, 36 }, { 22, 36, 45 },
					{ 22, 45, 34 }, { 22, 34, 36 }, { 13, 36, 34 },
					{ 13, 34, 33 }, { 13, 33, 36 }, { 18, 36, 33 },
					{ 18, 33, 44 }, { 18, 44, 36 }, { 6, 27, 28 },
					{ 6, 28, 32 }, { 6, 32, 27 }, { 14, 27, 32 },
					{ 14, 32, 43 }, { 14, 43, 27 }, { 26, 27, 43 },
					{ 26, 43, 47 }, { 26, 47, 27 }, { 23, 27, 47 },
					{ 23, 47, 39 }, { 23, 39, 27 }, { 10, 27, 39 },
					{ 10, 39, 28 }, { 10, 28, 27 }, { 1, 15, 32 },
					{ 1, 32, 28 }, { 1, 28, 15 }, { 0, 15, 28 }, { 0, 28, 29 },
					{ 0, 29, 15 }, { 2, 15, 29 }, { 2, 29, 33 }, { 2, 33, 15 },
					{ 4, 15, 33 }, { 4, 33, 34 }, { 4, 34, 15 }, { 3, 15, 34 },
					{ 3, 34, 32 }, { 3, 32, 15 }, { 17, 35, 43 },
					{ 17, 43, 32 }, { 17, 32, 35 }, { 12, 35, 32 },
					{ 12, 32, 34 }, { 12, 34, 35 }, { 21, 35, 34 },
					{ 21, 34, 45 }, { 21, 45, 35 }, { 41, 35, 45 },
					{ 41, 45, 51 }, { 41, 51, 35 }, { 37, 35, 51 },
					{ 37, 51, 43 }, { 37, 43, 35 }, { 60, 61, 47 },
					{ 60, 47, 43 }, { 60, 43, 61 }, { 66, 61, 43 },
					{ 66, 43, 51 }, { 66, 51, 61 }, { 80, 61, 51 },
					{ 80, 51, 62 }, { 80, 62, 61 }, { 84, 61, 62 },
					{ 84, 62, 58 }, { 84, 58, 61 }, { 75, 61, 58 },
					{ 75, 58, 47 }, { 75, 47, 61 }, { 53, 55, 39 },
					{ 53, 39, 47 }, { 53, 47, 55 }, { 73, 55, 47 },
					{ 73, 47, 58 }, { 73, 58, 55 }, { 78, 55, 58 },
					{ 78, 58, 57 }, { 78, 57, 55 }, { 69, 55, 57 },
					{ 69, 57, 46 }, { 69, 46, 55 }, { 49, 55, 46 },
					{ 49, 46, 39 }, { 49, 39, 55 }, { 8, 24, 28 },
					{ 8, 28, 39 }, { 8, 39, 24 }, { 19, 24, 39 },
					{ 19, 39, 46 }, { 19, 46, 24 }, { 20, 24, 46 },
					{ 20, 46, 40 }, { 20, 40, 24 }, { 9, 24, 40 },
					{ 9, 40, 29 }, { 9, 29, 24 }, { 5, 24, 29 }, { 5, 29, 28 },
					{ 5, 28, 24 }

			},
			{ { 5, 4, 6 }, { 0, 3, 5 }, { 5, 3, 4 }, { 4, 3, 0 }, { 1, 4, 0 },
					{ 6, 3, 1 }, { 1, 3, 4 }, { 4, 3, 6 }, { 5, 2, 0 },
					{ 6, 3, 5 }, { 5, 3, 2 }, { 2, 3, 6 }, { 1, 2, 6 },
					{ 0, 3, 1 }, { 1, 3, 2 }, { 2, 3, 0 } },
			{ { 75, 73, 79, 71, 68, 63, 49, 59, 53, 65 }, { 73, 75, 76 },
					{ 71, 79, 72 }, { 63, 68, 50 }, { 59, 49, 40 },
					{ 65, 53, 55 }, { 79, 76, 75, 69, 61, 67, 62, 70, 78, 77 },
					{ 76, 79, 73 }, { 69, 75, 57 }, { 67, 61, 48 },
					{ 70, 62, 58 }, { 77, 78, 74 },
					{ 68, 72, 79, 74, 78, 66, 54, 60, 52, 64 }, { 72, 68, 71 },
					{ 74, 79, 77 }, { 66, 78, 56 }, { 60, 54, 41 },
					{ 64, 52, 51 }, { 49, 50, 68, 51, 52, 37, 18, 31, 17, 36 },
					{ 50, 49, 63 }, { 51, 68, 64 }, { 37, 52, 33 },
					{ 31, 18, 12 }, { 36, 17, 32 },
					{ 53, 40, 49, 32, 17, 21, 1, 23, 25, 34 }, { 40, 53, 59 },
					{ 32, 49, 36 }, { 21, 17, 9 }, { 23, 1, 13 },
					{ 34, 25, 44 }, { 75, 55, 53, 44, 25, 38, 27, 46, 61, 57 },
					{ 55, 75, 65 }, { 44, 53, 34 }, { 38, 25, 19 },
					{ 46, 27, 42 }, { 57, 61, 69 },
					{ 30, 16, 11, 8, 0, 6, 4, 14, 26, 20 }, { 16, 30, 29 },
					{ 8, 11, 7 }, { 6, 0, 3 }, { 14, 4, 24 }, { 20, 26, 39 },
					{ 11, 29, 30, 43, 62, 48, 61, 42, 27, 28 }, { 29, 11, 16 },
					{ 43, 30, 47 }, { 48, 62, 67 }, { 42, 61, 46 },
					{ 28, 27, 15 }, { 0, 7, 11, 15, 27, 19, 25, 13, 1, 5 },
					{ 7, 0, 8 }, { 15, 11, 28 }, { 19, 27, 38 },
					{ 13, 25, 23 }, { 5, 1, 2 },
					{ 4, 3, 0, 2, 1, 9, 17, 12, 18, 10 }, { 3, 4, 6 },
					{ 2, 0, 5 }, { 9, 1, 21 }, { 12, 17, 31 }, { 10, 18, 22 },
					{ 26, 24, 4, 22, 18, 33, 52, 41, 54, 35 }, { 24, 26, 14 },
					{ 22, 4, 10 }, { 33, 18, 37 }, { 41, 52, 60 },
					{ 35, 54, 45 }, { 30, 39, 26, 45, 54, 56, 78, 58, 62, 47 },
					{ 39, 30, 20 }, { 45, 26, 35 }, { 56, 54, 66 },
					{ 58, 78, 70 }, { 47, 62, 43 } },
			{ { 5, 1, 8 }, { 5, 2, 6 }, { 2, 0, 6 }, { 6, 0, 1 }, { 0, 3, 1 },
					{ 6, 1, 5 }, { 8, 12, 6 }, { 12, 9, 6 }, { 6, 9, 5 },
					{ 9, 2, 5 }, { 6, 5, 8 }, { 1, 3, 6 }, { 3, 10, 6 },
					{ 6, 10, 8 }, { 10, 12, 8 }, { 6, 8, 1 }, { 7, 4, 11 },
					{ 7, 3, 6 }, { 3, 0, 6 }, { 6, 0, 4 }, { 0, 2, 4 },
					{ 6, 4, 7 }, { 11, 12, 6 }, { 12, 10, 6 }, { 6, 10, 7 },
					{ 10, 3, 7 }, { 6, 7, 11 }, { 4, 2, 6 }, { 2, 9, 6 },
					{ 6, 9, 11 }, { 9, 12, 11 }, { 6, 11, 4 }

			} };

}
